%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : AGT006+1 : TPTP v9.0.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jun 21 04:57:38 AM UTC 2025
% Result : Theorem 237.78s 237.99s
% Output : Proof 237.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : AGT006+1 : TPTP v9.0.0. Bugfixed v3.1.0.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n010.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Jun 19 10:44:26 EDT 2025
% 0.12/0.33 % CPUTime :
% 237.78/237.99 % SZS status Theorem
% 237.78/237.99 % SZS output start Proof
% 237.78/237.99 tff(less_type, type, (
% 237.78/237.99 less: ( $i * $i ) > $o)).
% 237.78/237.99 tff(n5_type, type, (
% 237.78/237.99 n5: $i)).
% 237.78/237.99 tff(n4_type, type, (
% 237.78/237.99 n4: $i)).
% 237.78/237.99 tff(rdn_positive_less_type, type, (
% 237.78/237.99 rdn_positive_less: ( $i * $i ) > $o)).
% 237.78/237.99 tff(rdn_translate_type, type, (
% 237.78/237.99 rdn_translate: ( $i * $i ) > $o)).
% 237.78/237.99 tff(rdn_pos_type, type, (
% 237.78/237.99 rdn_pos: $i > $i)).
% 237.78/237.99 tff(rdnn_type, type, (
% 237.78/237.99 rdnn: $i > $i)).
% 237.78/237.99 tff(accept_population_type, type, (
% 237.78/237.99 accept_population: ( $i * $i * $i ) > $o)).
% 237.78/237.99 tff(other_type, type, (
% 237.78/237.99 other: $i)).
% 237.78/237.99 tff(countrybcivilorganization_type, type, (
% 237.78/237.99 countrybcivilorganization: $i)).
% 237.78/237.99 tff(native_type, type, (
% 237.78/237.99 native: $i)).
% 237.78/237.99 tff(n85_type, type, (
% 237.78/237.99 n85: $i)).
% 237.78/237.99 tff(rdn_type, type, (
% 237.78/237.99 rdn: ( $i * $i ) > $i)).
% 237.78/237.99 tff(n8_type, type, (
% 237.78/237.99 n8: $i)).
% 237.78/237.99 tff(rdn_non_zero_type, type, (
% 237.78/237.99 rdn_non_zero: $i > $o)).
% 237.78/237.99 tff(rdn_non_zero_digit_type, type, (
% 237.78/237.99 rdn_non_zero_digit: $i > $o)).
% 237.78/237.99 tff(n0_type, type, (
% 237.78/237.99 n0: $i)).
% 237.78/237.99 tff(muslim_type, type, (
% 237.78/237.99 muslim: $i)).
% 237.78/237.99 tff(n3_type, type, (
% 237.78/237.99 n3: $i)).
% 237.78/237.99 tff(christian_type, type, (
% 237.78/237.99 christian: $i)).
% 237.78/237.99 tff(n12_type, type, (
% 237.78/237.99 n12: $i)).
% 237.78/237.99 tff(atheist_type, type, (
% 237.78/237.99 atheist: $i)).
% 237.78/237.99 tff(accept_city_type, type, (
% 237.78/237.99 accept_city: ( $i * $i ) > $o)).
% 237.78/237.99 tff(coastvillage_type, type, (
% 237.78/237.99 coastvillage: $i)).
% 237.78/237.99 tff(accept_number_type, type, (
% 237.78/237.99 accept_number: ( $i * $i ) > $o)).
% 237.78/237.99 tff(accept_leader_type, type, (
% 237.78/237.99 accept_leader: ( $i * $i ) > $o)).
% 237.78/237.99 tff(christiancountrychumanitarianorganization_type, type, (
% 237.78/237.99 christiancountrychumanitarianorganization: $i)).
% 237.78/237.99 tff(accept_team_type, type, (
% 237.78/237.99 accept_team: ( $i * $i * $i * $i ) > $o)).
% 237.78/237.99 tff(n7_type, type, (
% 237.78/237.99 n7: $i)).
% 237.78/237.99 tff(n65_type, type, (
% 237.78/237.99 n65: $i)).
% 237.78/237.99 tff(n6_type, type, (
% 237.78/237.99 n6: $i)).
% 237.78/237.99 tff(n30_type, type, (
% 237.78/237.99 n30: $i)).
% 237.78/237.99 tff(townc_type, type, (
% 237.78/237.99 townc: $i)).
% 237.78/237.99 tff(countryahumanitarianorganization_type, type, (
% 237.78/237.99 countryahumanitarianorganization: $i)).
% 237.78/237.99 tff(the_agent_in_all_proposed_teams_type, type, (
% 237.78/237.99 the_agent_in_all_proposed_teams: ( $i * $i * $i ) > $o)).
% 237.78/237.99 tff(n78_type, type, (
% 237.78/237.99 n78: $i)).
% 237.78/237.99 tff(n1_type, type, (
% 237.78/237.99 n1: $i)).
% 237.78/237.99 tff(n20_type, type, (
% 237.78/237.99 n20: $i)).
% 237.78/237.99 tff(cityb_type, type, (
% 237.78/237.99 cityb: $i)).
% 237.78/237.99 tff(countrybhumanitarianorganization_type, type, (
% 237.78/237.99 countrybhumanitarianorganization: $i)).
% 237.78/237.99 tff(suffertown_type, type, (
% 237.78/237.99 suffertown: $i)).
% 237.78/237.99 tff(1,assumption,(~less(n4, n5)), introduced(assumption)).
% 237.78/237.99 tff(2,plain,
% 237.78/237.99 (^[X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : refl((less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y))) <=> (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y))))),
% 237.78/237.99 inference(bind,[status(th)],[])).
% 237.78/237.99 tff(3,plain,
% 237.78/237.99 (![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y))) <=> ![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))),
% 237.78/237.99 inference(quant_intro,[status(thm)],[2])).
% 237.78/237.99 tff(4,plain,
% 237.78/237.99 (^[X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : trans(monotonicity(trans(monotonicity(rewrite((rdn_translate(X, rdn_pos(RDN_X)) & rdn_translate(Y, rdn_pos(RDN_Y)) & rdn_positive_less(RDN_X, RDN_Y)) <=> (~((~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y))))), ((~(rdn_translate(X, rdn_pos(RDN_X)) & rdn_translate(Y, rdn_pos(RDN_Y)) & rdn_positive_less(RDN_X, RDN_Y))) <=> (~(~((~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y))))))), rewrite((~(~((~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y))))) <=> ((~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))), ((~(rdn_translate(X, rdn_pos(RDN_X)) & rdn_translate(Y, rdn_pos(RDN_Y)) & rdn_positive_less(RDN_X, RDN_Y))) <=> ((~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y))))), (((~(rdn_translate(X, rdn_pos(RDN_X)) & rdn_translate(Y, rdn_pos(RDN_Y)) & rdn_positive_less(RDN_X, RDN_Y))) | less(X, Y)) <=> (((~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y))) | less(X, Y)))), rewrite((((~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y))) | less(X, Y)) <=> (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))), (((~(rdn_translate(X, rdn_pos(RDN_X)) & rdn_translate(Y, rdn_pos(RDN_Y)) & rdn_positive_less(RDN_X, RDN_Y))) | less(X, Y)) <=> (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))))),
% 237.78/237.99 inference(bind,[status(th)],[])).
% 237.78/237.99 tff(5,plain,
% 237.78/237.99 (![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : ((~(rdn_translate(X, rdn_pos(RDN_X)) & rdn_translate(Y, rdn_pos(RDN_Y)) & rdn_positive_less(RDN_X, RDN_Y))) | less(X, Y)) <=> ![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))),
% 237.78/237.99 inference(quant_intro,[status(thm)],[4])).
% 237.78/237.99 tff(6,plain,
% 237.78/237.99 (![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : ((~(rdn_translate(X, rdn_pos(RDN_X)) & rdn_translate(Y, rdn_pos(RDN_Y)) & rdn_positive_less(RDN_X, RDN_Y))) | less(X, Y)) <=> ![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : ((~(rdn_translate(X, rdn_pos(RDN_X)) & rdn_translate(Y, rdn_pos(RDN_Y)) & rdn_positive_less(RDN_X, RDN_Y))) | less(X, Y))),
% 237.78/237.99 inference(rewrite,[status(thm)],[])).
% 237.78/237.99 tff(7,plain,
% 237.78/237.99 (^[X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : trans(monotonicity(rewrite(((rdn_translate(X, rdn_pos(RDN_X)) & rdn_translate(Y, rdn_pos(RDN_Y))) & rdn_positive_less(RDN_X, RDN_Y)) <=> (rdn_translate(X, rdn_pos(RDN_X)) & rdn_translate(Y, rdn_pos(RDN_Y)) & rdn_positive_less(RDN_X, RDN_Y))), ((((rdn_translate(X, rdn_pos(RDN_X)) & rdn_translate(Y, rdn_pos(RDN_Y))) & rdn_positive_less(RDN_X, RDN_Y)) => less(X, Y)) <=> ((rdn_translate(X, rdn_pos(RDN_X)) & rdn_translate(Y, rdn_pos(RDN_Y)) & rdn_positive_less(RDN_X, RDN_Y)) => less(X, Y)))), rewrite(((rdn_translate(X, rdn_pos(RDN_X)) & rdn_translate(Y, rdn_pos(RDN_Y)) & rdn_positive_less(RDN_X, RDN_Y)) => less(X, Y)) <=> ((~(rdn_translate(X, rdn_pos(RDN_X)) & rdn_translate(Y, rdn_pos(RDN_Y)) & rdn_positive_less(RDN_X, RDN_Y))) | less(X, Y))), ((((rdn_translate(X, rdn_pos(RDN_X)) & rdn_translate(Y, rdn_pos(RDN_Y))) & rdn_positive_less(RDN_X, RDN_Y)) => less(X, Y)) <=> ((~(rdn_translate(X, rdn_pos(RDN_X)) & rdn_translate(Y, rdn_pos(RDN_Y)) & rdn_positive_less(RDN_X, RDN_Y))) | less(X, Y))))),
% 237.78/237.99 inference(bind,[status(th)],[])).
% 237.78/237.99 tff(8,plain,
% 237.78/237.99 (![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (((rdn_translate(X, rdn_pos(RDN_X)) & rdn_translate(Y, rdn_pos(RDN_Y))) & rdn_positive_less(RDN_X, RDN_Y)) => less(X, Y)) <=> ![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : ((~(rdn_translate(X, rdn_pos(RDN_X)) & rdn_translate(Y, rdn_pos(RDN_Y)) & rdn_positive_less(RDN_X, RDN_Y))) | less(X, Y))),
% 237.78/237.99 inference(quant_intro,[status(thm)],[7])).
% 237.78/237.99 tff(9,axiom,(![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (((rdn_translate(X, rdn_pos(RDN_X)) & rdn_translate(Y, rdn_pos(RDN_Y))) & rdn_positive_less(RDN_X, RDN_Y)) => less(X, Y))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax','less_entry_point_pos_pos')).
% 237.78/237.99 tff(10,plain,
% 237.78/237.99 (![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : ((~(rdn_translate(X, rdn_pos(RDN_X)) & rdn_translate(Y, rdn_pos(RDN_Y)) & rdn_positive_less(RDN_X, RDN_Y))) | less(X, Y))),
% 237.78/237.99 inference(modus_ponens,[status(thm)],[9, 8])).
% 237.78/237.99 tff(11,plain,
% 237.78/237.99 (![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : ((~(rdn_translate(X, rdn_pos(RDN_X)) & rdn_translate(Y, rdn_pos(RDN_Y)) & rdn_positive_less(RDN_X, RDN_Y))) | less(X, Y))),
% 237.78/237.99 inference(modus_ponens,[status(thm)],[10, 6])).
% 237.78/237.99 tff(12,plain,(
% 237.78/237.99 ![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : ((~(rdn_translate(X, rdn_pos(RDN_X)) & rdn_translate(Y, rdn_pos(RDN_Y)) & rdn_positive_less(RDN_X, RDN_Y))) | less(X, Y))),
% 237.78/237.99 inference(skolemize,[status(sab)],[11])).
% 237.78/237.99 tff(13,plain,
% 237.78/237.99 (![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))),
% 237.78/237.99 inference(modus_ponens,[status(thm)],[12, 5])).
% 237.78/237.99 tff(14,plain,
% 237.78/237.99 (![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))),
% 237.78/237.99 inference(modus_ponens,[status(thm)],[13, 3])).
% 237.78/237.99 tff(15,plain,
% 237.78/237.99 (rdn_positive_less(rdnn(n4), rdnn(n5)) <=> rdn_positive_less(rdnn(n4), rdnn(n5))),
% 237.78/237.99 inference(rewrite,[status(thm)],[])).
% 237.78/237.99 tff(16,axiom,(rdn_positive_less(rdnn(n4), rdnn(n5))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax','rdn_positive_less45')).
% 237.78/237.99 tff(17,plain,
% 237.78/237.99 (rdn_positive_less(rdnn(n4), rdnn(n5))),
% 237.78/237.99 inference(modus_ponens,[status(thm)],[16, 15])).
% 237.78/237.99 tff(18,plain,
% 237.78/237.99 (rdn_translate(n5, rdn_pos(rdnn(n5))) <=> rdn_translate(n5, rdn_pos(rdnn(n5)))),
% 237.78/237.99 inference(rewrite,[status(thm)],[])).
% 237.78/237.99 tff(19,axiom,(rdn_translate(n5, rdn_pos(rdnn(n5)))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax','rdn5')).
% 237.78/237.99 tff(20,plain,
% 237.78/237.99 (rdn_translate(n5, rdn_pos(rdnn(n5)))),
% 237.78/237.99 inference(modus_ponens,[status(thm)],[19, 18])).
% 237.78/237.99 tff(21,plain,
% 237.78/237.99 (rdn_translate(n4, rdn_pos(rdnn(n4))) <=> rdn_translate(n4, rdn_pos(rdnn(n4)))),
% 237.78/237.99 inference(rewrite,[status(thm)],[])).
% 237.78/237.99 tff(22,axiom,(rdn_translate(n4, rdn_pos(rdnn(n4)))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax','rdn4')).
% 237.78/237.99 tff(23,plain,
% 237.78/237.99 (rdn_translate(n4, rdn_pos(rdnn(n4)))),
% 237.78/237.99 inference(modus_ponens,[status(thm)],[22, 21])).
% 237.78/237.99 tff(24,plain,
% 237.78/237.99 (((~![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))) | ((~rdn_positive_less(rdnn(n4), rdnn(n5))) | (~rdn_translate(n5, rdn_pos(rdnn(n5)))) | less(n4, n5) | (~rdn_translate(n4, rdn_pos(rdnn(n4)))))) <=> ((~![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))) | (~rdn_positive_less(rdnn(n4), rdnn(n5))) | (~rdn_translate(n5, rdn_pos(rdnn(n5)))) | less(n4, n5) | (~rdn_translate(n4, rdn_pos(rdnn(n4)))))),
% 237.78/237.99 inference(rewrite,[status(thm)],[])).
% 237.78/237.99 tff(25,plain,
% 237.78/237.99 ((less(n4, n5) | (~rdn_translate(n4, rdn_pos(rdnn(n4)))) | (~rdn_translate(n5, rdn_pos(rdnn(n5)))) | (~rdn_positive_less(rdnn(n4), rdnn(n5)))) <=> ((~rdn_positive_less(rdnn(n4), rdnn(n5))) | (~rdn_translate(n5, rdn_pos(rdnn(n5)))) | less(n4, n5) | (~rdn_translate(n4, rdn_pos(rdnn(n4)))))),
% 237.78/237.99 inference(rewrite,[status(thm)],[])).
% 237.78/237.99 tff(26,plain,
% 237.78/237.99 (((~![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))) | (less(n4, n5) | (~rdn_translate(n4, rdn_pos(rdnn(n4)))) | (~rdn_translate(n5, rdn_pos(rdnn(n5)))) | (~rdn_positive_less(rdnn(n4), rdnn(n5))))) <=> ((~![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))) | ((~rdn_positive_less(rdnn(n4), rdnn(n5))) | (~rdn_translate(n5, rdn_pos(rdnn(n5)))) | less(n4, n5) | (~rdn_translate(n4, rdn_pos(rdnn(n4))))))),
% 237.78/237.99 inference(monotonicity,[status(thm)],[25])).
% 237.78/237.99 tff(27,plain,
% 237.78/237.99 (((~![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))) | (less(n4, n5) | (~rdn_translate(n4, rdn_pos(rdnn(n4)))) | (~rdn_translate(n5, rdn_pos(rdnn(n5)))) | (~rdn_positive_less(rdnn(n4), rdnn(n5))))) <=> ((~![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))) | (~rdn_positive_less(rdnn(n4), rdnn(n5))) | (~rdn_translate(n5, rdn_pos(rdnn(n5)))) | less(n4, n5) | (~rdn_translate(n4, rdn_pos(rdnn(n4)))))),
% 237.78/237.99 inference(transitivity,[status(thm)],[26, 24])).
% 237.78/237.99 tff(28,plain,
% 237.78/237.99 ((~![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))) | (less(n4, n5) | (~rdn_translate(n4, rdn_pos(rdnn(n4)))) | (~rdn_translate(n5, rdn_pos(rdnn(n5)))) | (~rdn_positive_less(rdnn(n4), rdnn(n5))))),
% 237.78/237.99 inference(quant_inst,[status(thm)],[])).
% 237.78/237.99 tff(29,plain,
% 237.78/237.99 ((~![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))) | (~rdn_positive_less(rdnn(n4), rdnn(n5))) | (~rdn_translate(n5, rdn_pos(rdnn(n5)))) | less(n4, n5) | (~rdn_translate(n4, rdn_pos(rdnn(n4))))),
% 237.78/237.99 inference(modus_ponens,[status(thm)],[28, 27])).
% 237.78/237.99 tff(30,plain,
% 237.78/237.99 ($false),
% 237.78/237.99 inference(unit_resolution,[status(thm)],[29, 23, 20, 17, 14, 1])).
% 237.78/237.99 tff(31,plain,(less(n4, n5)), inference(lemma,lemma(discharge,[]))).
% 237.78/237.99 tff(32,assumption,(~less(n4, n85)), introduced(assumption)).
% 237.78/237.99 tff(33,plain,
% 237.78/237.99 (^[X: $i] : refl((rdn_non_zero(rdnn(X)) | (~rdn_non_zero_digit(rdnn(X)))) <=> (rdn_non_zero(rdnn(X)) | (~rdn_non_zero_digit(rdnn(X)))))),
% 237.78/237.99 inference(bind,[status(th)],[])).
% 237.78/237.99 tff(34,plain,
% 237.78/237.99 (![X: $i] : (rdn_non_zero(rdnn(X)) | (~rdn_non_zero_digit(rdnn(X)))) <=> ![X: $i] : (rdn_non_zero(rdnn(X)) | (~rdn_non_zero_digit(rdnn(X))))),
% 237.78/237.99 inference(quant_intro,[status(thm)],[33])).
% 237.78/237.99 tff(35,plain,
% 237.78/237.99 (![X: $i] : (rdn_non_zero(rdnn(X)) | (~rdn_non_zero_digit(rdnn(X)))) <=> ![X: $i] : (rdn_non_zero(rdnn(X)) | (~rdn_non_zero_digit(rdnn(X))))),
% 237.78/237.99 inference(rewrite,[status(thm)],[])).
% 237.78/237.99 tff(36,plain,
% 237.78/237.99 (^[X: $i] : rewrite((rdn_non_zero_digit(rdnn(X)) => rdn_non_zero(rdnn(X))) <=> (rdn_non_zero(rdnn(X)) | (~rdn_non_zero_digit(rdnn(X)))))),
% 237.78/237.99 inference(bind,[status(th)],[])).
% 237.78/237.99 tff(37,plain,
% 237.78/237.99 (![X: $i] : (rdn_non_zero_digit(rdnn(X)) => rdn_non_zero(rdnn(X))) <=> ![X: $i] : (rdn_non_zero(rdnn(X)) | (~rdn_non_zero_digit(rdnn(X))))),
% 237.78/237.99 inference(quant_intro,[status(thm)],[36])).
% 237.78/237.99 tff(38,axiom,(![X: $i] : (rdn_non_zero_digit(rdnn(X)) => rdn_non_zero(rdnn(X)))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax','rdn_non_zero_by_digit')).
% 237.78/237.99 tff(39,plain,
% 237.78/237.99 (![X: $i] : (rdn_non_zero(rdnn(X)) | (~rdn_non_zero_digit(rdnn(X))))),
% 237.78/237.99 inference(modus_ponens,[status(thm)],[38, 37])).
% 237.78/237.99 tff(40,plain,
% 237.78/237.99 (![X: $i] : (rdn_non_zero(rdnn(X)) | (~rdn_non_zero_digit(rdnn(X))))),
% 237.78/237.99 inference(modus_ponens,[status(thm)],[39, 35])).
% 237.78/237.99 tff(41,plain,(
% 237.78/237.99 ![X: $i] : (rdn_non_zero(rdnn(X)) | (~rdn_non_zero_digit(rdnn(X))))),
% 237.78/237.99 inference(skolemize,[status(sab)],[40])).
% 237.78/237.99 tff(42,plain,
% 237.78/237.99 (![X: $i] : (rdn_non_zero(rdnn(X)) | (~rdn_non_zero_digit(rdnn(X))))),
% 237.78/237.99 inference(modus_ponens,[status(thm)],[41, 34])).
% 237.78/237.99 tff(43,plain,
% 237.78/237.99 (rdn_non_zero_digit(rdnn(n8)) <=> rdn_non_zero_digit(rdnn(n8))),
% 237.78/237.99 inference(rewrite,[status(thm)],[])).
% 237.78/237.99 tff(44,axiom,(rdn_non_zero_digit(rdnn(n8))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax','rdn_digit8')).
% 237.78/237.99 tff(45,plain,
% 237.78/237.99 (rdn_non_zero_digit(rdnn(n8))),
% 237.78/237.99 inference(modus_ponens,[status(thm)],[44, 43])).
% 237.78/237.99 tff(46,plain,
% 237.78/237.99 (((~![X: $i] : (rdn_non_zero(rdnn(X)) | (~rdn_non_zero_digit(rdnn(X))))) | (rdn_non_zero(rdnn(n8)) | (~rdn_non_zero_digit(rdnn(n8))))) <=> ((~![X: $i] : (rdn_non_zero(rdnn(X)) | (~rdn_non_zero_digit(rdnn(X))))) | rdn_non_zero(rdnn(n8)) | (~rdn_non_zero_digit(rdnn(n8))))),
% 237.78/237.99 inference(rewrite,[status(thm)],[])).
% 237.78/237.99 tff(47,plain,
% 237.78/237.99 ((~![X: $i] : (rdn_non_zero(rdnn(X)) | (~rdn_non_zero_digit(rdnn(X))))) | (rdn_non_zero(rdnn(n8)) | (~rdn_non_zero_digit(rdnn(n8))))),
% 237.78/237.99 inference(quant_inst,[status(thm)],[])).
% 237.78/237.99 tff(48,plain,
% 237.78/237.99 ((~![X: $i] : (rdn_non_zero(rdnn(X)) | (~rdn_non_zero_digit(rdnn(X))))) | rdn_non_zero(rdnn(n8)) | (~rdn_non_zero_digit(rdnn(n8)))),
% 237.78/237.99 inference(modus_ponens,[status(thm)],[47, 46])).
% 237.78/237.99 tff(49,plain,
% 237.78/237.99 (rdn_non_zero(rdnn(n8))),
% 237.78/237.99 inference(unit_resolution,[status(thm)],[48, 45, 42])).
% 237.78/237.99 tff(50,plain,
% 237.78/237.99 (^[D: $i, Db: $i, Ob: $i] : refl(((~rdn_non_zero(Ob)) | rdn_positive_less(rdnn(D), rdn(rdnn(Db), Ob))) <=> ((~rdn_non_zero(Ob)) | rdn_positive_less(rdnn(D), rdn(rdnn(Db), Ob))))),
% 237.78/237.99 inference(bind,[status(th)],[])).
% 237.78/237.99 tff(51,plain,
% 237.78/237.99 (![D: $i, Db: $i, Ob: $i] : ((~rdn_non_zero(Ob)) | rdn_positive_less(rdnn(D), rdn(rdnn(Db), Ob))) <=> ![D: $i, Db: $i, Ob: $i] : ((~rdn_non_zero(Ob)) | rdn_positive_less(rdnn(D), rdn(rdnn(Db), Ob)))),
% 237.78/237.99 inference(quant_intro,[status(thm)],[50])).
% 237.78/237.99 tff(52,plain,
% 237.78/237.99 (![D: $i, Db: $i, Ob: $i] : ((~rdn_non_zero(Ob)) | rdn_positive_less(rdnn(D), rdn(rdnn(Db), Ob))) <=> ![D: $i, Db: $i, Ob: $i] : ((~rdn_non_zero(Ob)) | rdn_positive_less(rdnn(D), rdn(rdnn(Db), Ob)))),
% 237.78/237.99 inference(rewrite,[status(thm)],[])).
% 237.78/237.99 tff(53,plain,
% 237.78/237.99 (^[D: $i, Db: $i, Ob: $i] : rewrite((rdn_non_zero(Ob) => rdn_positive_less(rdnn(D), rdn(rdnn(Db), Ob))) <=> ((~rdn_non_zero(Ob)) | rdn_positive_less(rdnn(D), rdn(rdnn(Db), Ob))))),
% 237.78/237.99 inference(bind,[status(th)],[])).
% 237.78/237.99 tff(54,plain,
% 237.78/237.99 (![D: $i, Db: $i, Ob: $i] : (rdn_non_zero(Ob) => rdn_positive_less(rdnn(D), rdn(rdnn(Db), Ob))) <=> ![D: $i, Db: $i, Ob: $i] : ((~rdn_non_zero(Ob)) | rdn_positive_less(rdnn(D), rdn(rdnn(Db), Ob)))),
% 237.78/237.99 inference(quant_intro,[status(thm)],[53])).
% 237.78/237.99 tff(55,axiom,(![D: $i, Db: $i, Ob: $i] : (rdn_non_zero(Ob) => rdn_positive_less(rdnn(D), rdn(rdnn(Db), Ob)))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax','rdn_extra_digits_positive_less')).
% 237.78/237.99 tff(56,plain,
% 237.78/237.99 (![D: $i, Db: $i, Ob: $i] : ((~rdn_non_zero(Ob)) | rdn_positive_less(rdnn(D), rdn(rdnn(Db), Ob)))),
% 237.78/237.99 inference(modus_ponens,[status(thm)],[55, 54])).
% 237.78/237.99 tff(57,plain,
% 237.78/237.99 (![D: $i, Db: $i, Ob: $i] : ((~rdn_non_zero(Ob)) | rdn_positive_less(rdnn(D), rdn(rdnn(Db), Ob)))),
% 237.78/237.99 inference(modus_ponens,[status(thm)],[56, 52])).
% 237.78/237.99 tff(58,plain,(
% 237.78/237.99 ![D: $i, Db: $i, Ob: $i] : ((~rdn_non_zero(Ob)) | rdn_positive_less(rdnn(D), rdn(rdnn(Db), Ob)))),
% 237.78/237.99 inference(skolemize,[status(sab)],[57])).
% 237.78/237.99 tff(59,plain,
% 237.78/237.99 (![D: $i, Db: $i, Ob: $i] : ((~rdn_non_zero(Ob)) | rdn_positive_less(rdnn(D), rdn(rdnn(Db), Ob)))),
% 237.78/237.99 inference(modus_ponens,[status(thm)],[58, 51])).
% 237.78/237.99 tff(60,plain,
% 237.78/237.99 (((~![D: $i, Db: $i, Ob: $i] : ((~rdn_non_zero(Ob)) | rdn_positive_less(rdnn(D), rdn(rdnn(Db), Ob)))) | ((~rdn_non_zero(rdnn(n8))) | rdn_positive_less(rdnn(n4), rdn(rdnn(n5), rdnn(n8))))) <=> ((~![D: $i, Db: $i, Ob: $i] : ((~rdn_non_zero(Ob)) | rdn_positive_less(rdnn(D), rdn(rdnn(Db), Ob)))) | (~rdn_non_zero(rdnn(n8))) | rdn_positive_less(rdnn(n4), rdn(rdnn(n5), rdnn(n8))))),
% 237.78/237.99 inference(rewrite,[status(thm)],[])).
% 237.78/237.99 tff(61,plain,
% 237.78/237.99 ((~![D: $i, Db: $i, Ob: $i] : ((~rdn_non_zero(Ob)) | rdn_positive_less(rdnn(D), rdn(rdnn(Db), Ob)))) | ((~rdn_non_zero(rdnn(n8))) | rdn_positive_less(rdnn(n4), rdn(rdnn(n5), rdnn(n8))))),
% 237.78/237.99 inference(quant_inst,[status(thm)],[])).
% 237.78/237.99 tff(62,plain,
% 237.78/237.99 ((~![D: $i, Db: $i, Ob: $i] : ((~rdn_non_zero(Ob)) | rdn_positive_less(rdnn(D), rdn(rdnn(Db), Ob)))) | (~rdn_non_zero(rdnn(n8))) | rdn_positive_less(rdnn(n4), rdn(rdnn(n5), rdnn(n8)))),
% 237.78/237.99 inference(modus_ponens,[status(thm)],[61, 60])).
% 237.78/237.99 tff(63,plain,
% 237.78/237.99 ((~rdn_non_zero(rdnn(n8))) | rdn_positive_less(rdnn(n4), rdn(rdnn(n5), rdnn(n8)))),
% 237.78/237.99 inference(unit_resolution,[status(thm)],[62, 59])).
% 237.78/237.99 tff(64,plain,
% 237.78/237.99 (rdn_positive_less(rdnn(n4), rdn(rdnn(n5), rdnn(n8)))),
% 237.78/237.99 inference(unit_resolution,[status(thm)],[63, 49])).
% 237.78/237.99 tff(65,plain,
% 237.78/237.99 (rdn_translate(n85, rdn_pos(rdn(rdnn(n5), rdnn(n8)))) <=> rdn_translate(n85, rdn_pos(rdn(rdnn(n5), rdnn(n8))))),
% 237.78/237.99 inference(rewrite,[status(thm)],[])).
% 237.78/237.99 tff(66,axiom,(rdn_translate(n85, rdn_pos(rdn(rdnn(n5), rdnn(n8))))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax','rdn85')).
% 237.78/237.99 tff(67,plain,
% 237.78/237.99 (rdn_translate(n85, rdn_pos(rdn(rdnn(n5), rdnn(n8))))),
% 237.78/237.99 inference(modus_ponens,[status(thm)],[66, 65])).
% 237.78/237.99 tff(68,plain,
% 237.78/237.99 (((~![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))) | ((~rdn_positive_less(rdnn(n4), rdn(rdnn(n5), rdnn(n8)))) | (~rdn_translate(n85, rdn_pos(rdn(rdnn(n5), rdnn(n8))))) | (~rdn_translate(n4, rdn_pos(rdnn(n4)))) | less(n4, n85))) <=> ((~![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))) | (~rdn_positive_less(rdnn(n4), rdn(rdnn(n5), rdnn(n8)))) | (~rdn_translate(n85, rdn_pos(rdn(rdnn(n5), rdnn(n8))))) | (~rdn_translate(n4, rdn_pos(rdnn(n4)))) | less(n4, n85))),
% 237.78/237.99 inference(rewrite,[status(thm)],[])).
% 237.78/237.99 tff(69,plain,
% 237.78/237.99 ((less(n4, n85) | (~rdn_translate(n4, rdn_pos(rdnn(n4)))) | (~rdn_translate(n85, rdn_pos(rdn(rdnn(n5), rdnn(n8))))) | (~rdn_positive_less(rdnn(n4), rdn(rdnn(n5), rdnn(n8))))) <=> ((~rdn_positive_less(rdnn(n4), rdn(rdnn(n5), rdnn(n8)))) | (~rdn_translate(n85, rdn_pos(rdn(rdnn(n5), rdnn(n8))))) | (~rdn_translate(n4, rdn_pos(rdnn(n4)))) | less(n4, n85))),
% 237.78/237.99 inference(rewrite,[status(thm)],[])).
% 237.78/237.99 tff(70,plain,
% 237.78/237.99 (((~![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))) | (less(n4, n85) | (~rdn_translate(n4, rdn_pos(rdnn(n4)))) | (~rdn_translate(n85, rdn_pos(rdn(rdnn(n5), rdnn(n8))))) | (~rdn_positive_less(rdnn(n4), rdn(rdnn(n5), rdnn(n8)))))) <=> ((~![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))) | ((~rdn_positive_less(rdnn(n4), rdn(rdnn(n5), rdnn(n8)))) | (~rdn_translate(n85, rdn_pos(rdn(rdnn(n5), rdnn(n8))))) | (~rdn_translate(n4, rdn_pos(rdnn(n4)))) | less(n4, n85)))),
% 237.78/237.99 inference(monotonicity,[status(thm)],[69])).
% 237.78/237.99 tff(71,plain,
% 237.78/237.99 (((~![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))) | (less(n4, n85) | (~rdn_translate(n4, rdn_pos(rdnn(n4)))) | (~rdn_translate(n85, rdn_pos(rdn(rdnn(n5), rdnn(n8))))) | (~rdn_positive_less(rdnn(n4), rdn(rdnn(n5), rdnn(n8)))))) <=> ((~![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))) | (~rdn_positive_less(rdnn(n4), rdn(rdnn(n5), rdnn(n8)))) | (~rdn_translate(n85, rdn_pos(rdn(rdnn(n5), rdnn(n8))))) | (~rdn_translate(n4, rdn_pos(rdnn(n4)))) | less(n4, n85))),
% 237.78/237.99 inference(transitivity,[status(thm)],[70, 68])).
% 237.78/237.99 tff(72,plain,
% 237.78/237.99 ((~![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))) | (less(n4, n85) | (~rdn_translate(n4, rdn_pos(rdnn(n4)))) | (~rdn_translate(n85, rdn_pos(rdn(rdnn(n5), rdnn(n8))))) | (~rdn_positive_less(rdnn(n4), rdn(rdnn(n5), rdnn(n8)))))),
% 237.78/237.99 inference(quant_inst,[status(thm)],[])).
% 237.78/237.99 tff(73,plain,
% 237.78/237.99 ((~![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))) | (~rdn_positive_less(rdnn(n4), rdn(rdnn(n5), rdnn(n8)))) | (~rdn_translate(n85, rdn_pos(rdn(rdnn(n5), rdnn(n8))))) | (~rdn_translate(n4, rdn_pos(rdnn(n4)))) | less(n4, n85)),
% 237.78/237.99 inference(modus_ponens,[status(thm)],[72, 71])).
% 237.78/237.99 tff(74,plain,
% 237.78/237.99 ($false),
% 237.78/237.99 inference(unit_resolution,[status(thm)],[73, 23, 67, 14, 64, 32])).
% 237.78/237.99 tff(75,plain,(less(n4, n85)), inference(lemma,lemma(discharge,[]))).
% 237.78/237.99 tff(76,assumption,(~accept_population(countrybcivilorganization, native, n4)), introduced(assumption)).
% 237.78/237.99 tff(77,plain,
% 237.78/237.99 (^[A: $i] : refl((~(((~accept_population(A, atheist, n12)) | (~accept_population(A, christian, n3)) | (~accept_population(A, muslim, n0)) | (~accept_population(A, native, n85)) | (~accept_population(A, other, n0))) <=> accept_city(A, coastvillage))) <=> (~(((~accept_population(A, atheist, n12)) | (~accept_population(A, christian, n3)) | (~accept_population(A, muslim, n0)) | (~accept_population(A, native, n85)) | (~accept_population(A, other, n0))) <=> accept_city(A, coastvillage))))),
% 237.78/237.99 inference(bind,[status(th)],[])).
% 237.78/237.99 tff(78,plain,
% 237.78/237.99 (![A: $i] : (~(((~accept_population(A, atheist, n12)) | (~accept_population(A, christian, n3)) | (~accept_population(A, muslim, n0)) | (~accept_population(A, native, n85)) | (~accept_population(A, other, n0))) <=> accept_city(A, coastvillage))) <=> ![A: $i] : (~(((~accept_population(A, atheist, n12)) | (~accept_population(A, christian, n3)) | (~accept_population(A, muslim, n0)) | (~accept_population(A, native, n85)) | (~accept_population(A, other, n0))) <=> accept_city(A, coastvillage)))),
% 237.78/237.99 inference(quant_intro,[status(thm)],[77])).
% 237.78/237.99 tff(79,plain,
% 237.78/237.99 (^[A: $i] : trans(trans(monotonicity(rewrite((accept_population(A, atheist, n12) & accept_population(A, christian, n3) & accept_population(A, muslim, n0) & accept_population(A, native, n85) & accept_population(A, other, n0)) <=> (~((~accept_population(A, atheist, n12)) | (~accept_population(A, christian, n3)) | (~accept_population(A, muslim, n0)) | (~accept_population(A, native, n85)) | (~accept_population(A, other, n0))))), (((accept_population(A, atheist, n12) & accept_population(A, christian, n3) & accept_population(A, muslim, n0) & accept_population(A, native, n85) & accept_population(A, other, n0)) <=> accept_city(A, coastvillage)) <=> ((~((~accept_population(A, atheist, n12)) | (~accept_population(A, christian, n3)) | (~accept_population(A, muslim, n0)) | (~accept_population(A, native, n85)) | (~accept_population(A, other, n0)))) <=> accept_city(A, coastvillage)))), rewrite(((~((~accept_population(A, atheist, n12)) | (~accept_population(A, christian, n3)) | (~accept_population(A, muslim, n0)) | (~accept_population(A, native, n85)) | (~accept_population(A, other, n0)))) <=> accept_city(A, coastvillage)) <=> (~(((~accept_population(A, atheist, n12)) | (~accept_population(A, christian, n3)) | (~accept_population(A, muslim, n0)) | (~accept_population(A, native, n85)) | (~accept_population(A, other, n0))) <=> accept_city(A, coastvillage)))), (((accept_population(A, atheist, n12) & accept_population(A, christian, n3) & accept_population(A, muslim, n0) & accept_population(A, native, n85) & accept_population(A, other, n0)) <=> accept_city(A, coastvillage)) <=> (~(((~accept_population(A, atheist, n12)) | (~accept_population(A, christian, n3)) | (~accept_population(A, muslim, n0)) | (~accept_population(A, native, n85)) | (~accept_population(A, other, n0))) <=> accept_city(A, coastvillage))))), rewrite((~(((~accept_population(A, atheist, n12)) | (~accept_population(A, christian, n3)) | (~accept_population(A, muslim, n0)) | (~accept_population(A, native, n85)) | (~accept_population(A, other, n0))) <=> accept_city(A, coastvillage))) <=> (~(((~accept_population(A, atheist, n12)) | (~accept_population(A, christian, n3)) | (~accept_population(A, muslim, n0)) | (~accept_population(A, native, n85)) | (~accept_population(A, other, n0))) <=> accept_city(A, coastvillage)))), (((accept_population(A, atheist, n12) & accept_population(A, christian, n3) & accept_population(A, muslim, n0) & accept_population(A, native, n85) & accept_population(A, other, n0)) <=> accept_city(A, coastvillage)) <=> (~(((~accept_population(A, atheist, n12)) | (~accept_population(A, christian, n3)) | (~accept_population(A, muslim, n0)) | (~accept_population(A, native, n85)) | (~accept_population(A, other, n0))) <=> accept_city(A, coastvillage)))))),
% 237.78/237.99 inference(bind,[status(th)],[])).
% 237.78/237.99 tff(80,plain,
% 237.78/237.99 (![A: $i] : ((accept_population(A, atheist, n12) & accept_population(A, christian, n3) & accept_population(A, muslim, n0) & accept_population(A, native, n85) & accept_population(A, other, n0)) <=> accept_city(A, coastvillage)) <=> ![A: $i] : (~(((~accept_population(A, atheist, n12)) | (~accept_population(A, christian, n3)) | (~accept_population(A, muslim, n0)) | (~accept_population(A, native, n85)) | (~accept_population(A, other, n0))) <=> accept_city(A, coastvillage)))),
% 237.78/237.99 inference(quant_intro,[status(thm)],[79])).
% 237.78/237.99 tff(81,plain,
% 237.78/237.99 (![A: $i] : ((accept_population(A, atheist, n12) & accept_population(A, christian, n3) & accept_population(A, muslim, n0) & accept_population(A, native, n85) & accept_population(A, other, n0)) <=> accept_city(A, coastvillage)) <=> ![A: $i] : ((accept_population(A, atheist, n12) & accept_population(A, christian, n3) & accept_population(A, muslim, n0) & accept_population(A, native, n85) & accept_population(A, other, n0)) <=> accept_city(A, coastvillage))),
% 237.78/238.00 inference(rewrite,[status(thm)],[])).
% 237.78/238.00 tff(82,plain,
% 237.78/238.00 (^[A: $i] : rewrite((((((accept_population(A, atheist, n12) & accept_population(A, christian, n3)) & accept_population(A, muslim, n0)) & accept_population(A, native, n85)) & accept_population(A, other, n0)) <=> accept_city(A, coastvillage)) <=> ((accept_population(A, atheist, n12) & accept_population(A, christian, n3) & accept_population(A, muslim, n0) & accept_population(A, native, n85) & accept_population(A, other, n0)) <=> accept_city(A, coastvillage)))),
% 237.78/238.00 inference(bind,[status(th)],[])).
% 237.78/238.00 tff(83,plain,
% 237.78/238.00 (![A: $i] : (((((accept_population(A, atheist, n12) & accept_population(A, christian, n3)) & accept_population(A, muslim, n0)) & accept_population(A, native, n85)) & accept_population(A, other, n0)) <=> accept_city(A, coastvillage)) <=> ![A: $i] : ((accept_population(A, atheist, n12) & accept_population(A, christian, n3) & accept_population(A, muslim, n0) & accept_population(A, native, n85) & accept_population(A, other, n0)) <=> accept_city(A, coastvillage))),
% 237.78/238.00 inference(quant_intro,[status(thm)],[82])).
% 237.78/238.00 tff(84,axiom,(![A: $i] : (((((accept_population(A, atheist, n12) & accept_population(A, christian, n3)) & accept_population(A, muslim, n0)) & accept_population(A, native, n85)) & accept_population(A, other, n0)) <=> accept_city(A, coastvillage))), file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax','a2_7')).
% 237.78/238.00 tff(85,plain,
% 237.78/238.00 (![A: $i] : ((accept_population(A, atheist, n12) & accept_population(A, christian, n3) & accept_population(A, muslim, n0) & accept_population(A, native, n85) & accept_population(A, other, n0)) <=> accept_city(A, coastvillage))),
% 237.78/238.00 inference(modus_ponens,[status(thm)],[84, 83])).
% 237.78/238.00 tff(86,plain,
% 237.78/238.00 (![A: $i] : ((accept_population(A, atheist, n12) & accept_population(A, christian, n3) & accept_population(A, muslim, n0) & accept_population(A, native, n85) & accept_population(A, other, n0)) <=> accept_city(A, coastvillage))),
% 237.78/238.00 inference(modus_ponens,[status(thm)],[85, 81])).
% 237.78/238.00 tff(87,plain,(
% 237.78/238.00 ![A: $i] : ((accept_population(A, atheist, n12) & accept_population(A, christian, n3) & accept_population(A, muslim, n0) & accept_population(A, native, n85) & accept_population(A, other, n0)) <=> accept_city(A, coastvillage))),
% 237.78/238.00 inference(skolemize,[status(sab)],[86])).
% 237.78/238.00 tff(88,plain,
% 237.78/238.00 (![A: $i] : (~(((~accept_population(A, atheist, n12)) | (~accept_population(A, christian, n3)) | (~accept_population(A, muslim, n0)) | (~accept_population(A, native, n85)) | (~accept_population(A, other, n0))) <=> accept_city(A, coastvillage)))),
% 237.78/238.00 inference(modus_ponens,[status(thm)],[87, 80])).
% 237.78/238.00 tff(89,plain,
% 237.78/238.00 (![A: $i] : (~(((~accept_population(A, atheist, n12)) | (~accept_population(A, christian, n3)) | (~accept_population(A, muslim, n0)) | (~accept_population(A, native, n85)) | (~accept_population(A, other, n0))) <=> accept_city(A, coastvillage)))),
% 237.78/238.00 inference(modus_ponens,[status(thm)],[88, 78])).
% 237.78/238.00 tff(90,plain,
% 237.78/238.00 ((~![A: $i] : (~(((~accept_population(A, atheist, n12)) | (~accept_population(A, christian, n3)) | (~accept_population(A, muslim, n0)) | (~accept_population(A, native, n85)) | (~accept_population(A, other, n0))) <=> accept_city(A, coastvillage)))) | (~(((~accept_population(countrybcivilorganization, atheist, n12)) | (~accept_population(countrybcivilorganization, christian, n3)) | (~accept_population(countrybcivilorganization, muslim, n0)) | (~accept_population(countrybcivilorganization, native, n85)) | (~accept_population(countrybcivilorganization, other, n0))) <=> accept_city(countrybcivilorganization, coastvillage)))),
% 237.78/238.00 inference(quant_inst,[status(thm)],[])).
% 237.78/238.00 tff(91,plain,
% 237.78/238.00 (~(((~accept_population(countrybcivilorganization, atheist, n12)) | (~accept_population(countrybcivilorganization, christian, n3)) | (~accept_population(countrybcivilorganization, muslim, n0)) | (~accept_population(countrybcivilorganization, native, n85)) | (~accept_population(countrybcivilorganization, other, n0))) <=> accept_city(countrybcivilorganization, coastvillage))),
% 237.78/238.00 inference(unit_resolution,[status(thm)],[90, 89])).
% 237.78/238.00 tff(92,plain,
% 237.78/238.00 (^[A: $i, C: $i, N: $i, L: $i] : refl((~(((~accept_city(A, C)) | (~accept_leader(A, L)) | (~accept_number(A, N))) <=> accept_team(A, L, C, N))) <=> (~(((~accept_city(A, C)) | (~accept_leader(A, L)) | (~accept_number(A, N))) <=> accept_team(A, L, C, N))))),
% 237.78/238.00 inference(bind,[status(th)],[])).
% 237.78/238.00 tff(93,plain,
% 237.78/238.00 (![A: $i, C: $i, N: $i, L: $i] : (~(((~accept_city(A, C)) | (~accept_leader(A, L)) | (~accept_number(A, N))) <=> accept_team(A, L, C, N))) <=> ![A: $i, C: $i, N: $i, L: $i] : (~(((~accept_city(A, C)) | (~accept_leader(A, L)) | (~accept_number(A, N))) <=> accept_team(A, L, C, N)))),
% 237.78/238.00 inference(quant_intro,[status(thm)],[92])).
% 237.78/238.00 tff(94,plain,
% 237.78/238.00 (^[A: $i, C: $i, N: $i, L: $i] : trans(trans(monotonicity(rewrite((accept_city(A, C) & accept_leader(A, L) & accept_number(A, N)) <=> (~((~accept_city(A, C)) | (~accept_leader(A, L)) | (~accept_number(A, N))))), ((accept_team(A, L, C, N) <=> (accept_city(A, C) & accept_leader(A, L) & accept_number(A, N))) <=> (accept_team(A, L, C, N) <=> (~((~accept_city(A, C)) | (~accept_leader(A, L)) | (~accept_number(A, N))))))), rewrite((accept_team(A, L, C, N) <=> (~((~accept_city(A, C)) | (~accept_leader(A, L)) | (~accept_number(A, N))))) <=> (~(((~accept_city(A, C)) | (~accept_leader(A, L)) | (~accept_number(A, N))) <=> accept_team(A, L, C, N)))), ((accept_team(A, L, C, N) <=> (accept_city(A, C) & accept_leader(A, L) & accept_number(A, N))) <=> (~(((~accept_city(A, C)) | (~accept_leader(A, L)) | (~accept_number(A, N))) <=> accept_team(A, L, C, N))))), rewrite((~(((~accept_city(A, C)) | (~accept_leader(A, L)) | (~accept_number(A, N))) <=> accept_team(A, L, C, N))) <=> (~(((~accept_city(A, C)) | (~accept_leader(A, L)) | (~accept_number(A, N))) <=> accept_team(A, L, C, N)))), ((accept_team(A, L, C, N) <=> (accept_city(A, C) & accept_leader(A, L) & accept_number(A, N))) <=> (~(((~accept_city(A, C)) | (~accept_leader(A, L)) | (~accept_number(A, N))) <=> accept_team(A, L, C, N)))))),
% 237.78/238.00 inference(bind,[status(th)],[])).
% 237.78/238.00 tff(95,plain,
% 237.78/238.00 (![A: $i, C: $i, N: $i, L: $i] : (accept_team(A, L, C, N) <=> (accept_city(A, C) & accept_leader(A, L) & accept_number(A, N))) <=> ![A: $i, C: $i, N: $i, L: $i] : (~(((~accept_city(A, C)) | (~accept_leader(A, L)) | (~accept_number(A, N))) <=> accept_team(A, L, C, N)))),
% 237.78/238.00 inference(quant_intro,[status(thm)],[94])).
% 237.78/238.00 tff(96,plain,
% 237.78/238.00 (![A: $i, C: $i, N: $i, L: $i] : (accept_team(A, L, C, N) <=> (accept_city(A, C) & accept_leader(A, L) & accept_number(A, N))) <=> ![A: $i, C: $i, N: $i, L: $i] : (accept_team(A, L, C, N) <=> (accept_city(A, C) & accept_leader(A, L) & accept_number(A, N)))),
% 237.78/238.00 inference(rewrite,[status(thm)],[])).
% 237.78/238.00 tff(97,plain,
% 237.78/238.00 (^[A: $i, C: $i, N: $i, L: $i] : rewrite((accept_team(A, L, C, N) <=> ((accept_city(A, C) & accept_leader(A, L)) & accept_number(A, N))) <=> (accept_team(A, L, C, N) <=> (accept_city(A, C) & accept_leader(A, L) & accept_number(A, N))))),
% 237.78/238.00 inference(bind,[status(th)],[])).
% 237.78/238.00 tff(98,plain,
% 237.78/238.00 (![A: $i, C: $i, N: $i, L: $i] : (accept_team(A, L, C, N) <=> ((accept_city(A, C) & accept_leader(A, L)) & accept_number(A, N))) <=> ![A: $i, C: $i, N: $i, L: $i] : (accept_team(A, L, C, N) <=> (accept_city(A, C) & accept_leader(A, L) & accept_number(A, N)))),
% 237.78/238.00 inference(quant_intro,[status(thm)],[97])).
% 237.78/238.00 tff(99,axiom,(![A: $i, C: $i, N: $i, L: $i] : (accept_team(A, L, C, N) <=> ((accept_city(A, C) & accept_leader(A, L)) & accept_number(A, N)))), file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax','a1_1')).
% 237.78/238.00 tff(100,plain,
% 237.78/238.00 (![A: $i, C: $i, N: $i, L: $i] : (accept_team(A, L, C, N) <=> (accept_city(A, C) & accept_leader(A, L) & accept_number(A, N)))),
% 237.78/238.00 inference(modus_ponens,[status(thm)],[99, 98])).
% 237.78/238.00 tff(101,plain,
% 237.78/238.00 (![A: $i, C: $i, N: $i, L: $i] : (accept_team(A, L, C, N) <=> (accept_city(A, C) & accept_leader(A, L) & accept_number(A, N)))),
% 237.78/238.00 inference(modus_ponens,[status(thm)],[100, 96])).
% 237.78/238.00 tff(102,plain,(
% 237.78/238.00 ![A: $i, C: $i, N: $i, L: $i] : (accept_team(A, L, C, N) <=> (accept_city(A, C) & accept_leader(A, L) & accept_number(A, N)))),
% 237.78/238.00 inference(skolemize,[status(sab)],[101])).
% 237.78/238.00 tff(103,plain,
% 237.78/238.00 (![A: $i, C: $i, N: $i, L: $i] : (~(((~accept_city(A, C)) | (~accept_leader(A, L)) | (~accept_number(A, N))) <=> accept_team(A, L, C, N)))),
% 237.78/238.00 inference(modus_ponens,[status(thm)],[102, 95])).
% 237.78/238.00 tff(104,plain,
% 237.78/238.00 (![A: $i, C: $i, N: $i, L: $i] : (~(((~accept_city(A, C)) | (~accept_leader(A, L)) | (~accept_number(A, N))) <=> accept_team(A, L, C, N)))),
% 237.78/238.00 inference(modus_ponens,[status(thm)],[103, 93])).
% 237.78/238.00 tff(105,plain,
% 237.78/238.00 ((~![A: $i, C: $i, N: $i, L: $i] : (~(((~accept_city(A, C)) | (~accept_leader(A, L)) | (~accept_number(A, N))) <=> accept_team(A, L, C, N)))) | (~(((~accept_city(countrybcivilorganization, coastvillage)) | (~accept_leader(countrybcivilorganization, christiancountrychumanitarianorganization)) | (~accept_number(countrybcivilorganization, n5))) <=> accept_team(countrybcivilorganization, christiancountrychumanitarianorganization, coastvillage, n5)))),
% 237.78/238.00 inference(quant_inst,[status(thm)],[])).
% 237.78/238.00 tff(106,plain,
% 237.78/238.00 (~(((~accept_city(countrybcivilorganization, coastvillage)) | (~accept_leader(countrybcivilorganization, christiancountrychumanitarianorganization)) | (~accept_number(countrybcivilorganization, n5))) <=> accept_team(countrybcivilorganization, christiancountrychumanitarianorganization, coastvillage, n5))),
% 237.78/238.00 inference(unit_resolution,[status(thm)],[105, 104])).
% 237.78/238.00 tff(107,plain,
% 237.78/238.00 (accept_team(countrybcivilorganization, christiancountrychumanitarianorganization, coastvillage, n5) <=> accept_team(countrybcivilorganization, christiancountrychumanitarianorganization, coastvillage, n5)),
% 237.78/238.00 inference(rewrite,[status(thm)],[])).
% 237.78/238.00 tff(108,axiom,(accept_team(countrybcivilorganization, christiancountrychumanitarianorganization, coastvillage, n5)), file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+1.ax','event_74')).
% 237.78/238.00 tff(109,plain,
% 237.78/238.00 (accept_team(countrybcivilorganization, christiancountrychumanitarianorganization, coastvillage, n5)),
% 237.78/238.00 inference(modus_ponens,[status(thm)],[108, 107])).
% 237.78/238.00 tff(110,plain,
% 237.78/238.00 ((((~accept_city(countrybcivilorganization, coastvillage)) | (~accept_leader(countrybcivilorganization, christiancountrychumanitarianorganization)) | (~accept_number(countrybcivilorganization, n5))) <=> accept_team(countrybcivilorganization, christiancountrychumanitarianorganization, coastvillage, n5)) | (~((~accept_city(countrybcivilorganization, coastvillage)) | (~accept_leader(countrybcivilorganization, christiancountrychumanitarianorganization)) | (~accept_number(countrybcivilorganization, n5)))) | (~accept_team(countrybcivilorganization, christiancountrychumanitarianorganization, coastvillage, n5))),
% 237.78/238.00 inference(tautology,[status(thm)],[])).
% 237.78/238.00 tff(111,plain,
% 237.78/238.00 ((((~accept_city(countrybcivilorganization, coastvillage)) | (~accept_leader(countrybcivilorganization, christiancountrychumanitarianorganization)) | (~accept_number(countrybcivilorganization, n5))) <=> accept_team(countrybcivilorganization, christiancountrychumanitarianorganization, coastvillage, n5)) | (~((~accept_city(countrybcivilorganization, coastvillage)) | (~accept_leader(countrybcivilorganization, christiancountrychumanitarianorganization)) | (~accept_number(countrybcivilorganization, n5))))),
% 237.78/238.00 inference(unit_resolution,[status(thm)],[110, 109])).
% 237.78/238.00 tff(112,plain,
% 237.78/238.00 (~((~accept_city(countrybcivilorganization, coastvillage)) | (~accept_leader(countrybcivilorganization, christiancountrychumanitarianorganization)) | (~accept_number(countrybcivilorganization, n5)))),
% 237.78/238.00 inference(unit_resolution,[status(thm)],[111, 106])).
% 237.78/238.00 tff(113,plain,
% 237.78/238.00 (((~accept_city(countrybcivilorganization, coastvillage)) | (~accept_leader(countrybcivilorganization, christiancountrychumanitarianorganization)) | (~accept_number(countrybcivilorganization, n5))) | accept_city(countrybcivilorganization, coastvillage)),
% 237.78/238.00 inference(tautology,[status(thm)],[])).
% 237.78/238.00 tff(114,plain,
% 237.78/238.00 (accept_city(countrybcivilorganization, coastvillage)),
% 237.78/238.00 inference(unit_resolution,[status(thm)],[113, 112])).
% 237.78/238.00 tff(115,plain,
% 237.78/238.00 ((((~accept_population(countrybcivilorganization, atheist, n12)) | (~accept_population(countrybcivilorganization, christian, n3)) | (~accept_population(countrybcivilorganization, muslim, n0)) | (~accept_population(countrybcivilorganization, native, n85)) | (~accept_population(countrybcivilorganization, other, n0))) <=> accept_city(countrybcivilorganization, coastvillage)) | (~((~accept_population(countrybcivilorganization, atheist, n12)) | (~accept_population(countrybcivilorganization, christian, n3)) | (~accept_population(countrybcivilorganization, muslim, n0)) | (~accept_population(countrybcivilorganization, native, n85)) | (~accept_population(countrybcivilorganization, other, n0)))) | (~accept_city(countrybcivilorganization, coastvillage))),
% 237.78/238.00 inference(tautology,[status(thm)],[])).
% 237.78/238.00 tff(116,plain,
% 237.78/238.00 ((((~accept_population(countrybcivilorganization, atheist, n12)) | (~accept_population(countrybcivilorganization, christian, n3)) | (~accept_population(countrybcivilorganization, muslim, n0)) | (~accept_population(countrybcivilorganization, native, n85)) | (~accept_population(countrybcivilorganization, other, n0))) <=> accept_city(countrybcivilorganization, coastvillage)) | (~((~accept_population(countrybcivilorganization, atheist, n12)) | (~accept_population(countrybcivilorganization, christian, n3)) | (~accept_population(countrybcivilorganization, muslim, n0)) | (~accept_population(countrybcivilorganization, native, n85)) | (~accept_population(countrybcivilorganization, other, n0))))),
% 237.78/238.00 inference(unit_resolution,[status(thm)],[115, 114])).
% 237.78/238.00 tff(117,plain,
% 237.78/238.00 (~((~accept_population(countrybcivilorganization, atheist, n12)) | (~accept_population(countrybcivilorganization, christian, n3)) | (~accept_population(countrybcivilorganization, muslim, n0)) | (~accept_population(countrybcivilorganization, native, n85)) | (~accept_population(countrybcivilorganization, other, n0)))),
% 237.78/238.00 inference(unit_resolution,[status(thm)],[116, 91])).
% 237.78/238.00 tff(118,plain,
% 237.78/238.00 (((~accept_population(countrybcivilorganization, atheist, n12)) | (~accept_population(countrybcivilorganization, christian, n3)) | (~accept_population(countrybcivilorganization, muslim, n0)) | (~accept_population(countrybcivilorganization, native, n85)) | (~accept_population(countrybcivilorganization, other, n0))) | accept_population(countrybcivilorganization, native, n85)),
% 237.78/238.00 inference(tautology,[status(thm)],[])).
% 237.78/238.00 tff(119,plain,
% 237.78/238.00 (accept_population(countrybcivilorganization, native, n85)),
% 237.78/238.00 inference(unit_resolution,[status(thm)],[118, 117])).
% 237.78/238.00 tff(120,plain,
% 237.78/238.00 (^[A: $i, N: $i, M: $i, P: $i] : refl((accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N))) <=> (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N))))),
% 237.78/238.00 inference(bind,[status(th)],[])).
% 237.78/238.00 tff(121,plain,
% 237.78/238.00 (![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N))) <=> ![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))),
% 237.78/238.00 inference(quant_intro,[status(thm)],[120])).
% 237.78/238.00 tff(122,plain,
% 237.78/238.00 (^[A: $i, N: $i, M: $i, P: $i] : trans(monotonicity(trans(monotonicity(rewrite((accept_population(A, P, N) & less(M, N)) <=> (~((~accept_population(A, P, N)) | (~less(M, N))))), ((~(accept_population(A, P, N) & less(M, N))) <=> (~(~((~accept_population(A, P, N)) | (~less(M, N))))))), rewrite((~(~((~accept_population(A, P, N)) | (~less(M, N))))) <=> ((~accept_population(A, P, N)) | (~less(M, N)))), ((~(accept_population(A, P, N) & less(M, N))) <=> ((~accept_population(A, P, N)) | (~less(M, N))))), (((~(accept_population(A, P, N) & less(M, N))) | accept_population(A, P, M)) <=> (((~accept_population(A, P, N)) | (~less(M, N))) | accept_population(A, P, M)))), rewrite((((~accept_population(A, P, N)) | (~less(M, N))) | accept_population(A, P, M)) <=> (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))), (((~(accept_population(A, P, N) & less(M, N))) | accept_population(A, P, M)) <=> (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))))),
% 237.78/238.00 inference(bind,[status(th)],[])).
% 237.78/238.00 tff(123,plain,
% 237.78/238.00 (![A: $i, N: $i, M: $i, P: $i] : ((~(accept_population(A, P, N) & less(M, N))) | accept_population(A, P, M)) <=> ![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))),
% 237.78/238.00 inference(quant_intro,[status(thm)],[122])).
% 237.78/238.00 tff(124,plain,
% 237.78/238.00 (![A: $i, N: $i, M: $i, P: $i] : ((~(accept_population(A, P, N) & less(M, N))) | accept_population(A, P, M)) <=> ![A: $i, N: $i, M: $i, P: $i] : ((~(accept_population(A, P, N) & less(M, N))) | accept_population(A, P, M))),
% 237.78/238.00 inference(rewrite,[status(thm)],[])).
% 237.78/238.00 tff(125,plain,
% 237.78/238.00 (^[A: $i, N: $i, M: $i, P: $i] : rewrite(((accept_population(A, P, N) & less(M, N)) => accept_population(A, P, M)) <=> ((~(accept_population(A, P, N) & less(M, N))) | accept_population(A, P, M)))),
% 237.78/238.00 inference(bind,[status(th)],[])).
% 237.78/238.00 tff(126,plain,
% 237.78/238.00 (![A: $i, N: $i, M: $i, P: $i] : ((accept_population(A, P, N) & less(M, N)) => accept_population(A, P, M)) <=> ![A: $i, N: $i, M: $i, P: $i] : ((~(accept_population(A, P, N) & less(M, N))) | accept_population(A, P, M))),
% 237.78/238.00 inference(quant_intro,[status(thm)],[125])).
% 237.78/238.00 tff(127,axiom,(![A: $i, N: $i, M: $i, P: $i] : ((accept_population(A, P, N) & less(M, N)) => accept_population(A, P, M))), file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax','a1_3')).
% 237.78/238.00 tff(128,plain,
% 237.78/238.00 (![A: $i, N: $i, M: $i, P: $i] : ((~(accept_population(A, P, N) & less(M, N))) | accept_population(A, P, M))),
% 237.78/238.00 inference(modus_ponens,[status(thm)],[127, 126])).
% 237.78/238.00 tff(129,plain,
% 237.78/238.00 (![A: $i, N: $i, M: $i, P: $i] : ((~(accept_population(A, P, N) & less(M, N))) | accept_population(A, P, M))),
% 237.78/238.00 inference(modus_ponens,[status(thm)],[128, 124])).
% 237.78/238.00 tff(130,plain,(
% 237.78/238.00 ![A: $i, N: $i, M: $i, P: $i] : ((~(accept_population(A, P, N) & less(M, N))) | accept_population(A, P, M))),
% 237.78/238.00 inference(skolemize,[status(sab)],[129])).
% 237.78/238.00 tff(131,plain,
% 237.78/238.00 (![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))),
% 237.78/238.00 inference(modus_ponens,[status(thm)],[130, 123])).
% 237.78/238.00 tff(132,plain,
% 237.78/238.00 (![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))),
% 237.78/238.00 inference(modus_ponens,[status(thm)],[131, 121])).
% 237.78/238.00 tff(133,plain,
% 237.78/238.00 (((~![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))) | ((~accept_population(countrybcivilorganization, native, n85)) | accept_population(countrybcivilorganization, native, n4) | (~less(n4, n85)))) <=> ((~![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))) | (~accept_population(countrybcivilorganization, native, n85)) | accept_population(countrybcivilorganization, native, n4) | (~less(n4, n85)))),
% 237.78/238.00 inference(rewrite,[status(thm)],[])).
% 237.78/238.00 tff(134,plain,
% 237.78/238.00 ((accept_population(countrybcivilorganization, native, n4) | (~accept_population(countrybcivilorganization, native, n85)) | (~less(n4, n85))) <=> ((~accept_population(countrybcivilorganization, native, n85)) | accept_population(countrybcivilorganization, native, n4) | (~less(n4, n85)))),
% 237.78/238.00 inference(rewrite,[status(thm)],[])).
% 237.78/238.00 tff(135,plain,
% 237.78/238.00 (((~![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))) | (accept_population(countrybcivilorganization, native, n4) | (~accept_population(countrybcivilorganization, native, n85)) | (~less(n4, n85)))) <=> ((~![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))) | ((~accept_population(countrybcivilorganization, native, n85)) | accept_population(countrybcivilorganization, native, n4) | (~less(n4, n85))))),
% 237.78/238.00 inference(monotonicity,[status(thm)],[134])).
% 237.78/238.00 tff(136,plain,
% 237.78/238.00 (((~![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))) | (accept_population(countrybcivilorganization, native, n4) | (~accept_population(countrybcivilorganization, native, n85)) | (~less(n4, n85)))) <=> ((~![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))) | (~accept_population(countrybcivilorganization, native, n85)) | accept_population(countrybcivilorganization, native, n4) | (~less(n4, n85)))),
% 237.78/238.00 inference(transitivity,[status(thm)],[135, 133])).
% 237.78/238.00 tff(137,plain,
% 237.78/238.00 ((~![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))) | (accept_population(countrybcivilorganization, native, n4) | (~accept_population(countrybcivilorganization, native, n85)) | (~less(n4, n85)))),
% 237.78/238.00 inference(quant_inst,[status(thm)],[])).
% 237.78/238.00 tff(138,plain,
% 237.78/238.00 ((~![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))) | (~accept_population(countrybcivilorganization, native, n85)) | accept_population(countrybcivilorganization, native, n4) | (~less(n4, n85))),
% 237.78/238.00 inference(modus_ponens,[status(thm)],[137, 136])).
% 237.78/238.00 tff(139,plain,
% 237.78/238.00 ($false),
% 237.78/238.00 inference(unit_resolution,[status(thm)],[138, 132, 119, 76, 75])).
% 237.78/238.00 tff(140,plain,(accept_population(countrybcivilorganization, native, n4)), inference(lemma,lemma(discharge,[]))).
% 237.78/238.00 tff(141,assumption,(~less(n7, n65)), introduced(assumption)).
% 237.78/238.00 tff(142,plain,
% 237.78/238.00 (rdn_non_zero_digit(rdnn(n6)) <=> rdn_non_zero_digit(rdnn(n6))),
% 237.78/238.00 inference(rewrite,[status(thm)],[])).
% 237.78/238.00 tff(143,axiom,(rdn_non_zero_digit(rdnn(n6))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax','rdn_digit6')).
% 237.78/238.00 tff(144,plain,
% 237.78/238.00 (rdn_non_zero_digit(rdnn(n6))),
% 237.78/238.00 inference(modus_ponens,[status(thm)],[143, 142])).
% 237.78/238.00 tff(145,plain,
% 237.78/238.00 (((~![X: $i] : (rdn_non_zero(rdnn(X)) | (~rdn_non_zero_digit(rdnn(X))))) | (rdn_non_zero(rdnn(n6)) | (~rdn_non_zero_digit(rdnn(n6))))) <=> ((~![X: $i] : (rdn_non_zero(rdnn(X)) | (~rdn_non_zero_digit(rdnn(X))))) | rdn_non_zero(rdnn(n6)) | (~rdn_non_zero_digit(rdnn(n6))))),
% 237.78/238.00 inference(rewrite,[status(thm)],[])).
% 237.78/238.00 tff(146,plain,
% 237.78/238.00 ((~![X: $i] : (rdn_non_zero(rdnn(X)) | (~rdn_non_zero_digit(rdnn(X))))) | (rdn_non_zero(rdnn(n6)) | (~rdn_non_zero_digit(rdnn(n6))))),
% 237.78/238.00 inference(quant_inst,[status(thm)],[])).
% 237.78/238.00 tff(147,plain,
% 237.78/238.00 ((~![X: $i] : (rdn_non_zero(rdnn(X)) | (~rdn_non_zero_digit(rdnn(X))))) | rdn_non_zero(rdnn(n6)) | (~rdn_non_zero_digit(rdnn(n6)))),
% 237.78/238.00 inference(modus_ponens,[status(thm)],[146, 145])).
% 237.78/238.00 tff(148,plain,
% 237.78/238.00 (rdn_non_zero(rdnn(n6))),
% 237.78/238.00 inference(unit_resolution,[status(thm)],[147, 144, 42])).
% 237.78/238.00 tff(149,plain,
% 237.78/238.00 (((~![D: $i, Db: $i, Ob: $i] : ((~rdn_non_zero(Ob)) | rdn_positive_less(rdnn(D), rdn(rdnn(Db), Ob)))) | ((~rdn_non_zero(rdnn(n6))) | rdn_positive_less(rdnn(n7), rdn(rdnn(n5), rdnn(n6))))) <=> ((~![D: $i, Db: $i, Ob: $i] : ((~rdn_non_zero(Ob)) | rdn_positive_less(rdnn(D), rdn(rdnn(Db), Ob)))) | (~rdn_non_zero(rdnn(n6))) | rdn_positive_less(rdnn(n7), rdn(rdnn(n5), rdnn(n6))))),
% 237.78/238.00 inference(rewrite,[status(thm)],[])).
% 237.78/238.00 tff(150,plain,
% 237.78/238.00 ((~![D: $i, Db: $i, Ob: $i] : ((~rdn_non_zero(Ob)) | rdn_positive_less(rdnn(D), rdn(rdnn(Db), Ob)))) | ((~rdn_non_zero(rdnn(n6))) | rdn_positive_less(rdnn(n7), rdn(rdnn(n5), rdnn(n6))))),
% 237.78/238.00 inference(quant_inst,[status(thm)],[])).
% 237.78/238.00 tff(151,plain,
% 237.78/238.00 ((~![D: $i, Db: $i, Ob: $i] : ((~rdn_non_zero(Ob)) | rdn_positive_less(rdnn(D), rdn(rdnn(Db), Ob)))) | (~rdn_non_zero(rdnn(n6))) | rdn_positive_less(rdnn(n7), rdn(rdnn(n5), rdnn(n6)))),
% 237.78/238.00 inference(modus_ponens,[status(thm)],[150, 149])).
% 237.78/238.00 tff(152,plain,
% 237.78/238.00 (rdn_positive_less(rdnn(n7), rdn(rdnn(n5), rdnn(n6)))),
% 237.78/238.00 inference(unit_resolution,[status(thm)],[151, 59, 148])).
% 237.78/238.00 tff(153,plain,
% 237.78/238.00 (rdn_translate(n65, rdn_pos(rdn(rdnn(n5), rdnn(n6)))) <=> rdn_translate(n65, rdn_pos(rdn(rdnn(n5), rdnn(n6))))),
% 237.78/238.00 inference(rewrite,[status(thm)],[])).
% 237.78/238.00 tff(154,axiom,(rdn_translate(n65, rdn_pos(rdn(rdnn(n5), rdnn(n6))))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax','rdn65')).
% 237.78/238.00 tff(155,plain,
% 237.78/238.00 (rdn_translate(n65, rdn_pos(rdn(rdnn(n5), rdnn(n6))))),
% 237.78/238.00 inference(modus_ponens,[status(thm)],[154, 153])).
% 237.78/238.00 tff(156,plain,
% 237.78/238.00 (rdn_translate(n7, rdn_pos(rdnn(n7))) <=> rdn_translate(n7, rdn_pos(rdnn(n7)))),
% 237.78/238.00 inference(rewrite,[status(thm)],[])).
% 237.78/238.00 tff(157,axiom,(rdn_translate(n7, rdn_pos(rdnn(n7)))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax','rdn7')).
% 237.78/238.00 tff(158,plain,
% 237.78/238.00 (rdn_translate(n7, rdn_pos(rdnn(n7)))),
% 237.78/238.00 inference(modus_ponens,[status(thm)],[157, 156])).
% 237.78/238.00 tff(159,plain,
% 237.78/238.00 (((~![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))) | ((~rdn_positive_less(rdnn(n7), rdn(rdnn(n5), rdnn(n6)))) | (~rdn_translate(n65, rdn_pos(rdn(rdnn(n5), rdnn(n6))))) | less(n7, n65) | (~rdn_translate(n7, rdn_pos(rdnn(n7)))))) <=> ((~![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))) | (~rdn_positive_less(rdnn(n7), rdn(rdnn(n5), rdnn(n6)))) | (~rdn_translate(n65, rdn_pos(rdn(rdnn(n5), rdnn(n6))))) | less(n7, n65) | (~rdn_translate(n7, rdn_pos(rdnn(n7)))))),
% 237.78/238.00 inference(rewrite,[status(thm)],[])).
% 237.78/238.00 tff(160,plain,
% 237.78/238.00 ((less(n7, n65) | (~rdn_translate(n7, rdn_pos(rdnn(n7)))) | (~rdn_translate(n65, rdn_pos(rdn(rdnn(n5), rdnn(n6))))) | (~rdn_positive_less(rdnn(n7), rdn(rdnn(n5), rdnn(n6))))) <=> ((~rdn_positive_less(rdnn(n7), rdn(rdnn(n5), rdnn(n6)))) | (~rdn_translate(n65, rdn_pos(rdn(rdnn(n5), rdnn(n6))))) | less(n7, n65) | (~rdn_translate(n7, rdn_pos(rdnn(n7)))))),
% 237.78/238.00 inference(rewrite,[status(thm)],[])).
% 237.78/238.00 tff(161,plain,
% 237.78/238.00 (((~![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))) | (less(n7, n65) | (~rdn_translate(n7, rdn_pos(rdnn(n7)))) | (~rdn_translate(n65, rdn_pos(rdn(rdnn(n5), rdnn(n6))))) | (~rdn_positive_less(rdnn(n7), rdn(rdnn(n5), rdnn(n6)))))) <=> ((~![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))) | ((~rdn_positive_less(rdnn(n7), rdn(rdnn(n5), rdnn(n6)))) | (~rdn_translate(n65, rdn_pos(rdn(rdnn(n5), rdnn(n6))))) | less(n7, n65) | (~rdn_translate(n7, rdn_pos(rdnn(n7))))))),
% 237.78/238.00 inference(monotonicity,[status(thm)],[160])).
% 237.78/238.00 tff(162,plain,
% 237.78/238.00 (((~![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))) | (less(n7, n65) | (~rdn_translate(n7, rdn_pos(rdnn(n7)))) | (~rdn_translate(n65, rdn_pos(rdn(rdnn(n5), rdnn(n6))))) | (~rdn_positive_less(rdnn(n7), rdn(rdnn(n5), rdnn(n6)))))) <=> ((~![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))) | (~rdn_positive_less(rdnn(n7), rdn(rdnn(n5), rdnn(n6)))) | (~rdn_translate(n65, rdn_pos(rdn(rdnn(n5), rdnn(n6))))) | less(n7, n65) | (~rdn_translate(n7, rdn_pos(rdnn(n7)))))),
% 237.78/238.00 inference(transitivity,[status(thm)],[161, 159])).
% 237.78/238.00 tff(163,plain,
% 237.78/238.00 ((~![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))) | (less(n7, n65) | (~rdn_translate(n7, rdn_pos(rdnn(n7)))) | (~rdn_translate(n65, rdn_pos(rdn(rdnn(n5), rdnn(n6))))) | (~rdn_positive_less(rdnn(n7), rdn(rdnn(n5), rdnn(n6)))))),
% 237.78/238.00 inference(quant_inst,[status(thm)],[])).
% 237.78/238.00 tff(164,plain,
% 237.78/238.00 ((~![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))) | (~rdn_positive_less(rdnn(n7), rdn(rdnn(n5), rdnn(n6)))) | (~rdn_translate(n65, rdn_pos(rdn(rdnn(n5), rdnn(n6))))) | less(n7, n65) | (~rdn_translate(n7, rdn_pos(rdnn(n7))))),
% 237.78/238.00 inference(modus_ponens,[status(thm)],[163, 162])).
% 237.78/238.00 tff(165,plain,
% 237.78/238.00 ($false),
% 237.78/238.00 inference(unit_resolution,[status(thm)],[164, 158, 155, 14, 152, 141])).
% 237.78/238.00 tff(166,plain,(less(n7, n65)), inference(lemma,lemma(discharge,[]))).
% 237.78/238.00 tff(167,assumption,(~accept_population(countrybcivilorganization, muslim, n7)), introduced(assumption)).
% 237.78/238.00 tff(168,plain,
% 237.78/238.00 (^[A: $i] : refl((~(((~accept_population(A, atheist, n30)) | (~accept_population(A, christian, n0)) | (~accept_population(A, muslim, n65)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n5))) <=> accept_city(A, townc))) <=> (~(((~accept_population(A, atheist, n30)) | (~accept_population(A, christian, n0)) | (~accept_population(A, muslim, n65)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n5))) <=> accept_city(A, townc))))),
% 237.78/238.00 inference(bind,[status(th)],[])).
% 237.78/238.00 tff(169,plain,
% 237.78/238.00 (![A: $i] : (~(((~accept_population(A, atheist, n30)) | (~accept_population(A, christian, n0)) | (~accept_population(A, muslim, n65)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n5))) <=> accept_city(A, townc))) <=> ![A: $i] : (~(((~accept_population(A, atheist, n30)) | (~accept_population(A, christian, n0)) | (~accept_population(A, muslim, n65)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n5))) <=> accept_city(A, townc)))),
% 237.78/238.00 inference(quant_intro,[status(thm)],[168])).
% 237.78/238.00 tff(170,plain,
% 237.78/238.00 (^[A: $i] : trans(trans(monotonicity(rewrite((accept_population(A, atheist, n30) & accept_population(A, christian, n0) & accept_population(A, muslim, n65) & accept_population(A, native, n0) & accept_population(A, other, n5)) <=> (~((~accept_population(A, atheist, n30)) | (~accept_population(A, christian, n0)) | (~accept_population(A, muslim, n65)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n5))))), (((accept_population(A, atheist, n30) & accept_population(A, christian, n0) & accept_population(A, muslim, n65) & accept_population(A, native, n0) & accept_population(A, other, n5)) <=> accept_city(A, townc)) <=> ((~((~accept_population(A, atheist, n30)) | (~accept_population(A, christian, n0)) | (~accept_population(A, muslim, n65)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n5)))) <=> accept_city(A, townc)))), rewrite(((~((~accept_population(A, atheist, n30)) | (~accept_population(A, christian, n0)) | (~accept_population(A, muslim, n65)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n5)))) <=> accept_city(A, townc)) <=> (~(((~accept_population(A, atheist, n30)) | (~accept_population(A, christian, n0)) | (~accept_population(A, muslim, n65)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n5))) <=> accept_city(A, townc)))), (((accept_population(A, atheist, n30) & accept_population(A, christian, n0) & accept_population(A, muslim, n65) & accept_population(A, native, n0) & accept_population(A, other, n5)) <=> accept_city(A, townc)) <=> (~(((~accept_population(A, atheist, n30)) | (~accept_population(A, christian, n0)) | (~accept_population(A, muslim, n65)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n5))) <=> accept_city(A, townc))))), rewrite((~(((~accept_population(A, atheist, n30)) | (~accept_population(A, christian, n0)) | (~accept_population(A, muslim, n65)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n5))) <=> accept_city(A, townc))) <=> (~(((~accept_population(A, atheist, n30)) | (~accept_population(A, christian, n0)) | (~accept_population(A, muslim, n65)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n5))) <=> accept_city(A, townc)))), (((accept_population(A, atheist, n30) & accept_population(A, christian, n0) & accept_population(A, muslim, n65) & accept_population(A, native, n0) & accept_population(A, other, n5)) <=> accept_city(A, townc)) <=> (~(((~accept_population(A, atheist, n30)) | (~accept_population(A, christian, n0)) | (~accept_population(A, muslim, n65)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n5))) <=> accept_city(A, townc)))))),
% 237.78/238.00 inference(bind,[status(th)],[])).
% 237.78/238.00 tff(171,plain,
% 237.78/238.00 (![A: $i] : ((accept_population(A, atheist, n30) & accept_population(A, christian, n0) & accept_population(A, muslim, n65) & accept_population(A, native, n0) & accept_population(A, other, n5)) <=> accept_city(A, townc)) <=> ![A: $i] : (~(((~accept_population(A, atheist, n30)) | (~accept_population(A, christian, n0)) | (~accept_population(A, muslim, n65)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n5))) <=> accept_city(A, townc)))),
% 237.86/238.01 inference(quant_intro,[status(thm)],[170])).
% 237.86/238.01 tff(172,plain,
% 237.86/238.01 (![A: $i] : ((accept_population(A, atheist, n30) & accept_population(A, christian, n0) & accept_population(A, muslim, n65) & accept_population(A, native, n0) & accept_population(A, other, n5)) <=> accept_city(A, townc)) <=> ![A: $i] : ((accept_population(A, atheist, n30) & accept_population(A, christian, n0) & accept_population(A, muslim, n65) & accept_population(A, native, n0) & accept_population(A, other, n5)) <=> accept_city(A, townc))),
% 237.86/238.01 inference(rewrite,[status(thm)],[])).
% 237.86/238.01 tff(173,plain,
% 237.86/238.01 (^[A: $i] : rewrite((((((accept_population(A, atheist, n30) & accept_population(A, christian, n0)) & accept_population(A, muslim, n65)) & accept_population(A, native, n0)) & accept_population(A, other, n5)) <=> accept_city(A, townc)) <=> ((accept_population(A, atheist, n30) & accept_population(A, christian, n0) & accept_population(A, muslim, n65) & accept_population(A, native, n0) & accept_population(A, other, n5)) <=> accept_city(A, townc)))),
% 237.86/238.01 inference(bind,[status(th)],[])).
% 237.86/238.01 tff(174,plain,
% 237.86/238.01 (![A: $i] : (((((accept_population(A, atheist, n30) & accept_population(A, christian, n0)) & accept_population(A, muslim, n65)) & accept_population(A, native, n0)) & accept_population(A, other, n5)) <=> accept_city(A, townc)) <=> ![A: $i] : ((accept_population(A, atheist, n30) & accept_population(A, christian, n0) & accept_population(A, muslim, n65) & accept_population(A, native, n0) & accept_population(A, other, n5)) <=> accept_city(A, townc))),
% 237.86/238.01 inference(quant_intro,[status(thm)],[173])).
% 237.86/238.01 tff(175,axiom,(![A: $i] : (((((accept_population(A, atheist, n30) & accept_population(A, christian, n0)) & accept_population(A, muslim, n65)) & accept_population(A, native, n0)) & accept_population(A, other, n5)) <=> accept_city(A, townc))), file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax','a2_13')).
% 237.86/238.01 tff(176,plain,
% 237.86/238.01 (![A: $i] : ((accept_population(A, atheist, n30) & accept_population(A, christian, n0) & accept_population(A, muslim, n65) & accept_population(A, native, n0) & accept_population(A, other, n5)) <=> accept_city(A, townc))),
% 237.86/238.01 inference(modus_ponens,[status(thm)],[175, 174])).
% 237.86/238.01 tff(177,plain,
% 237.86/238.01 (![A: $i] : ((accept_population(A, atheist, n30) & accept_population(A, christian, n0) & accept_population(A, muslim, n65) & accept_population(A, native, n0) & accept_population(A, other, n5)) <=> accept_city(A, townc))),
% 237.86/238.01 inference(modus_ponens,[status(thm)],[176, 172])).
% 237.86/238.01 tff(178,plain,(
% 237.86/238.01 ![A: $i] : ((accept_population(A, atheist, n30) & accept_population(A, christian, n0) & accept_population(A, muslim, n65) & accept_population(A, native, n0) & accept_population(A, other, n5)) <=> accept_city(A, townc))),
% 237.86/238.01 inference(skolemize,[status(sab)],[177])).
% 237.86/238.01 tff(179,plain,
% 237.86/238.01 (![A: $i] : (~(((~accept_population(A, atheist, n30)) | (~accept_population(A, christian, n0)) | (~accept_population(A, muslim, n65)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n5))) <=> accept_city(A, townc)))),
% 237.86/238.01 inference(modus_ponens,[status(thm)],[178, 171])).
% 237.86/238.01 tff(180,plain,
% 237.86/238.01 (![A: $i] : (~(((~accept_population(A, atheist, n30)) | (~accept_population(A, christian, n0)) | (~accept_population(A, muslim, n65)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n5))) <=> accept_city(A, townc)))),
% 237.86/238.01 inference(modus_ponens,[status(thm)],[179, 169])).
% 237.86/238.01 tff(181,plain,
% 237.86/238.01 ((~![A: $i] : (~(((~accept_population(A, atheist, n30)) | (~accept_population(A, christian, n0)) | (~accept_population(A, muslim, n65)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n5))) <=> accept_city(A, townc)))) | (~(((~accept_population(countrybcivilorganization, atheist, n30)) | (~accept_population(countrybcivilorganization, christian, n0)) | (~accept_population(countrybcivilorganization, muslim, n65)) | (~accept_population(countrybcivilorganization, native, n0)) | (~accept_population(countrybcivilorganization, other, n5))) <=> accept_city(countrybcivilorganization, townc)))),
% 237.86/238.01 inference(quant_inst,[status(thm)],[])).
% 237.86/238.01 tff(182,plain,
% 237.86/238.01 (~(((~accept_population(countrybcivilorganization, atheist, n30)) | (~accept_population(countrybcivilorganization, christian, n0)) | (~accept_population(countrybcivilorganization, muslim, n65)) | (~accept_population(countrybcivilorganization, native, n0)) | (~accept_population(countrybcivilorganization, other, n5))) <=> accept_city(countrybcivilorganization, townc))),
% 237.86/238.01 inference(unit_resolution,[status(thm)],[181, 180])).
% 237.86/238.01 tff(183,plain,
% 237.86/238.01 (the_agent_in_all_proposed_teams(countrybcivilorganization, countryahumanitarianorganization, townc) <=> the_agent_in_all_proposed_teams(countrybcivilorganization, countryahumanitarianorganization, townc)),
% 237.86/238.01 inference(rewrite,[status(thm)],[])).
% 237.86/238.01 tff(184,axiom,(the_agent_in_all_proposed_teams(countrybcivilorganization, countryahumanitarianorganization, townc)), file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+1.ax','event_80')).
% 237.86/238.01 tff(185,plain,
% 237.86/238.01 (the_agent_in_all_proposed_teams(countrybcivilorganization, countryahumanitarianorganization, townc)),
% 237.86/238.01 inference(modus_ponens,[status(thm)],[184, 183])).
% 237.86/238.01 tff(186,plain,
% 237.86/238.01 (^[A: $i, L: $i, C: $i] : refl(((~the_agent_in_all_proposed_teams(A, L, C)) | (~((~accept_leader(A, L)) | (~accept_city(A, C))))) <=> ((~the_agent_in_all_proposed_teams(A, L, C)) | (~((~accept_leader(A, L)) | (~accept_city(A, C))))))),
% 237.86/238.01 inference(bind,[status(th)],[])).
% 237.86/238.01 tff(187,plain,
% 237.86/238.01 (![A: $i, L: $i, C: $i] : ((~the_agent_in_all_proposed_teams(A, L, C)) | (~((~accept_leader(A, L)) | (~accept_city(A, C))))) <=> ![A: $i, L: $i, C: $i] : ((~the_agent_in_all_proposed_teams(A, L, C)) | (~((~accept_leader(A, L)) | (~accept_city(A, C)))))),
% 237.86/238.01 inference(quant_intro,[status(thm)],[186])).
% 237.86/238.01 tff(188,plain,
% 237.86/238.01 (^[A: $i, L: $i, C: $i] : rewrite(((~the_agent_in_all_proposed_teams(A, L, C)) | (accept_leader(A, L) & accept_city(A, C))) <=> ((~the_agent_in_all_proposed_teams(A, L, C)) | (~((~accept_leader(A, L)) | (~accept_city(A, C))))))),
% 237.86/238.01 inference(bind,[status(th)],[])).
% 237.86/238.01 tff(189,plain,
% 237.86/238.01 (![A: $i, L: $i, C: $i] : ((~the_agent_in_all_proposed_teams(A, L, C)) | (accept_leader(A, L) & accept_city(A, C))) <=> ![A: $i, L: $i, C: $i] : ((~the_agent_in_all_proposed_teams(A, L, C)) | (~((~accept_leader(A, L)) | (~accept_city(A, C)))))),
% 237.86/238.01 inference(quant_intro,[status(thm)],[188])).
% 237.86/238.01 tff(190,plain,
% 237.86/238.01 (![A: $i, L: $i, C: $i] : ((~the_agent_in_all_proposed_teams(A, L, C)) | (accept_leader(A, L) & accept_city(A, C))) <=> ![A: $i, L: $i, C: $i] : ((~the_agent_in_all_proposed_teams(A, L, C)) | (accept_leader(A, L) & accept_city(A, C)))),
% 237.86/238.01 inference(rewrite,[status(thm)],[])).
% 237.86/238.01 tff(191,plain,
% 237.86/238.01 (^[A: $i, L: $i, C: $i] : rewrite((the_agent_in_all_proposed_teams(A, L, C) => (accept_leader(A, L) & accept_city(A, C))) <=> ((~the_agent_in_all_proposed_teams(A, L, C)) | (accept_leader(A, L) & accept_city(A, C))))),
% 237.86/238.01 inference(bind,[status(th)],[])).
% 237.86/238.01 tff(192,plain,
% 237.86/238.01 (![A: $i, L: $i, C: $i] : (the_agent_in_all_proposed_teams(A, L, C) => (accept_leader(A, L) & accept_city(A, C))) <=> ![A: $i, L: $i, C: $i] : ((~the_agent_in_all_proposed_teams(A, L, C)) | (accept_leader(A, L) & accept_city(A, C)))),
% 237.86/238.01 inference(quant_intro,[status(thm)],[191])).
% 237.86/238.01 tff(193,axiom,(![A: $i, L: $i, C: $i] : (the_agent_in_all_proposed_teams(A, L, C) => (accept_leader(A, L) & accept_city(A, C)))), file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax','a1_4')).
% 237.86/238.01 tff(194,plain,
% 237.86/238.01 (![A: $i, L: $i, C: $i] : ((~the_agent_in_all_proposed_teams(A, L, C)) | (accept_leader(A, L) & accept_city(A, C)))),
% 237.86/238.01 inference(modus_ponens,[status(thm)],[193, 192])).
% 237.86/238.01 tff(195,plain,
% 237.86/238.01 (![A: $i, L: $i, C: $i] : ((~the_agent_in_all_proposed_teams(A, L, C)) | (accept_leader(A, L) & accept_city(A, C)))),
% 237.86/238.01 inference(modus_ponens,[status(thm)],[194, 190])).
% 237.86/238.01 tff(196,plain,(
% 237.86/238.01 ![A: $i, L: $i, C: $i] : ((~the_agent_in_all_proposed_teams(A, L, C)) | (accept_leader(A, L) & accept_city(A, C)))),
% 237.86/238.01 inference(skolemize,[status(sab)],[195])).
% 237.86/238.01 tff(197,plain,
% 237.86/238.01 (![A: $i, L: $i, C: $i] : ((~the_agent_in_all_proposed_teams(A, L, C)) | (~((~accept_leader(A, L)) | (~accept_city(A, C)))))),
% 237.86/238.01 inference(modus_ponens,[status(thm)],[196, 189])).
% 237.86/238.01 tff(198,plain,
% 237.86/238.01 (![A: $i, L: $i, C: $i] : ((~the_agent_in_all_proposed_teams(A, L, C)) | (~((~accept_leader(A, L)) | (~accept_city(A, C)))))),
% 237.86/238.01 inference(modus_ponens,[status(thm)],[197, 187])).
% 237.86/238.01 tff(199,plain,
% 237.86/238.01 (((~![A: $i, L: $i, C: $i] : ((~the_agent_in_all_proposed_teams(A, L, C)) | (~((~accept_leader(A, L)) | (~accept_city(A, C)))))) | ((~the_agent_in_all_proposed_teams(countrybcivilorganization, countryahumanitarianorganization, townc)) | (~((~accept_city(countrybcivilorganization, townc)) | (~accept_leader(countrybcivilorganization, countryahumanitarianorganization)))))) <=> ((~![A: $i, L: $i, C: $i] : ((~the_agent_in_all_proposed_teams(A, L, C)) | (~((~accept_leader(A, L)) | (~accept_city(A, C)))))) | (~the_agent_in_all_proposed_teams(countrybcivilorganization, countryahumanitarianorganization, townc)) | (~((~accept_city(countrybcivilorganization, townc)) | (~accept_leader(countrybcivilorganization, countryahumanitarianorganization)))))),
% 237.86/238.01 inference(rewrite,[status(thm)],[])).
% 237.86/238.01 tff(200,plain,
% 237.86/238.01 (((~the_agent_in_all_proposed_teams(countrybcivilorganization, countryahumanitarianorganization, townc)) | (~((~accept_leader(countrybcivilorganization, countryahumanitarianorganization)) | (~accept_city(countrybcivilorganization, townc))))) <=> ((~the_agent_in_all_proposed_teams(countrybcivilorganization, countryahumanitarianorganization, townc)) | (~((~accept_city(countrybcivilorganization, townc)) | (~accept_leader(countrybcivilorganization, countryahumanitarianorganization)))))),
% 237.86/238.01 inference(rewrite,[status(thm)],[])).
% 237.86/238.01 tff(201,plain,
% 237.86/238.01 (((~![A: $i, L: $i, C: $i] : ((~the_agent_in_all_proposed_teams(A, L, C)) | (~((~accept_leader(A, L)) | (~accept_city(A, C)))))) | ((~the_agent_in_all_proposed_teams(countrybcivilorganization, countryahumanitarianorganization, townc)) | (~((~accept_leader(countrybcivilorganization, countryahumanitarianorganization)) | (~accept_city(countrybcivilorganization, townc)))))) <=> ((~![A: $i, L: $i, C: $i] : ((~the_agent_in_all_proposed_teams(A, L, C)) | (~((~accept_leader(A, L)) | (~accept_city(A, C)))))) | ((~the_agent_in_all_proposed_teams(countrybcivilorganization, countryahumanitarianorganization, townc)) | (~((~accept_city(countrybcivilorganization, townc)) | (~accept_leader(countrybcivilorganization, countryahumanitarianorganization))))))),
% 237.86/238.01 inference(monotonicity,[status(thm)],[200])).
% 237.86/238.01 tff(202,plain,
% 237.86/238.01 (((~![A: $i, L: $i, C: $i] : ((~the_agent_in_all_proposed_teams(A, L, C)) | (~((~accept_leader(A, L)) | (~accept_city(A, C)))))) | ((~the_agent_in_all_proposed_teams(countrybcivilorganization, countryahumanitarianorganization, townc)) | (~((~accept_leader(countrybcivilorganization, countryahumanitarianorganization)) | (~accept_city(countrybcivilorganization, townc)))))) <=> ((~![A: $i, L: $i, C: $i] : ((~the_agent_in_all_proposed_teams(A, L, C)) | (~((~accept_leader(A, L)) | (~accept_city(A, C)))))) | (~the_agent_in_all_proposed_teams(countrybcivilorganization, countryahumanitarianorganization, townc)) | (~((~accept_city(countrybcivilorganization, townc)) | (~accept_leader(countrybcivilorganization, countryahumanitarianorganization)))))),
% 237.86/238.01 inference(transitivity,[status(thm)],[201, 199])).
% 237.86/238.01 tff(203,plain,
% 237.86/238.01 ((~![A: $i, L: $i, C: $i] : ((~the_agent_in_all_proposed_teams(A, L, C)) | (~((~accept_leader(A, L)) | (~accept_city(A, C)))))) | ((~the_agent_in_all_proposed_teams(countrybcivilorganization, countryahumanitarianorganization, townc)) | (~((~accept_leader(countrybcivilorganization, countryahumanitarianorganization)) | (~accept_city(countrybcivilorganization, townc)))))),
% 237.86/238.01 inference(quant_inst,[status(thm)],[])).
% 237.86/238.01 tff(204,plain,
% 237.86/238.01 ((~![A: $i, L: $i, C: $i] : ((~the_agent_in_all_proposed_teams(A, L, C)) | (~((~accept_leader(A, L)) | (~accept_city(A, C)))))) | (~the_agent_in_all_proposed_teams(countrybcivilorganization, countryahumanitarianorganization, townc)) | (~((~accept_city(countrybcivilorganization, townc)) | (~accept_leader(countrybcivilorganization, countryahumanitarianorganization))))),
% 237.86/238.01 inference(modus_ponens,[status(thm)],[203, 202])).
% 237.86/238.01 tff(205,plain,
% 237.86/238.01 (~((~accept_city(countrybcivilorganization, townc)) | (~accept_leader(countrybcivilorganization, countryahumanitarianorganization)))),
% 237.86/238.01 inference(unit_resolution,[status(thm)],[204, 198, 185])).
% 237.86/238.01 tff(206,plain,
% 237.86/238.01 (((~accept_city(countrybcivilorganization, townc)) | (~accept_leader(countrybcivilorganization, countryahumanitarianorganization))) | accept_city(countrybcivilorganization, townc)),
% 237.86/238.01 inference(tautology,[status(thm)],[])).
% 237.86/238.01 tff(207,plain,
% 237.86/238.01 (accept_city(countrybcivilorganization, townc)),
% 237.86/238.01 inference(unit_resolution,[status(thm)],[206, 205])).
% 237.86/238.01 tff(208,plain,
% 237.86/238.01 ((((~accept_population(countrybcivilorganization, atheist, n30)) | (~accept_population(countrybcivilorganization, christian, n0)) | (~accept_population(countrybcivilorganization, muslim, n65)) | (~accept_population(countrybcivilorganization, native, n0)) | (~accept_population(countrybcivilorganization, other, n5))) <=> accept_city(countrybcivilorganization, townc)) | (~((~accept_population(countrybcivilorganization, atheist, n30)) | (~accept_population(countrybcivilorganization, christian, n0)) | (~accept_population(countrybcivilorganization, muslim, n65)) | (~accept_population(countrybcivilorganization, native, n0)) | (~accept_population(countrybcivilorganization, other, n5)))) | (~accept_city(countrybcivilorganization, townc))),
% 237.86/238.01 inference(tautology,[status(thm)],[])).
% 237.86/238.01 tff(209,plain,
% 237.86/238.01 ((((~accept_population(countrybcivilorganization, atheist, n30)) | (~accept_population(countrybcivilorganization, christian, n0)) | (~accept_population(countrybcivilorganization, muslim, n65)) | (~accept_population(countrybcivilorganization, native, n0)) | (~accept_population(countrybcivilorganization, other, n5))) <=> accept_city(countrybcivilorganization, townc)) | (~((~accept_population(countrybcivilorganization, atheist, n30)) | (~accept_population(countrybcivilorganization, christian, n0)) | (~accept_population(countrybcivilorganization, muslim, n65)) | (~accept_population(countrybcivilorganization, native, n0)) | (~accept_population(countrybcivilorganization, other, n5))))),
% 237.86/238.01 inference(unit_resolution,[status(thm)],[208, 207])).
% 237.86/238.01 tff(210,plain,
% 237.86/238.01 (~((~accept_population(countrybcivilorganization, atheist, n30)) | (~accept_population(countrybcivilorganization, christian, n0)) | (~accept_population(countrybcivilorganization, muslim, n65)) | (~accept_population(countrybcivilorganization, native, n0)) | (~accept_population(countrybcivilorganization, other, n5)))),
% 237.86/238.01 inference(unit_resolution,[status(thm)],[209, 182])).
% 237.86/238.01 tff(211,plain,
% 237.86/238.01 (((~accept_population(countrybcivilorganization, atheist, n30)) | (~accept_population(countrybcivilorganization, christian, n0)) | (~accept_population(countrybcivilorganization, muslim, n65)) | (~accept_population(countrybcivilorganization, native, n0)) | (~accept_population(countrybcivilorganization, other, n5))) | accept_population(countrybcivilorganization, muslim, n65)),
% 237.86/238.01 inference(tautology,[status(thm)],[])).
% 237.86/238.01 tff(212,plain,
% 237.86/238.01 (accept_population(countrybcivilorganization, muslim, n65)),
% 237.86/238.01 inference(unit_resolution,[status(thm)],[211, 210])).
% 237.86/238.01 tff(213,plain,
% 237.86/238.01 (((~![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))) | ((~accept_population(countrybcivilorganization, muslim, n65)) | accept_population(countrybcivilorganization, muslim, n7) | (~less(n7, n65)))) <=> ((~![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))) | (~accept_population(countrybcivilorganization, muslim, n65)) | accept_population(countrybcivilorganization, muslim, n7) | (~less(n7, n65)))),
% 237.86/238.01 inference(rewrite,[status(thm)],[])).
% 237.86/238.01 tff(214,plain,
% 237.86/238.01 ((accept_population(countrybcivilorganization, muslim, n7) | (~accept_population(countrybcivilorganization, muslim, n65)) | (~less(n7, n65))) <=> ((~accept_population(countrybcivilorganization, muslim, n65)) | accept_population(countrybcivilorganization, muslim, n7) | (~less(n7, n65)))),
% 237.86/238.01 inference(rewrite,[status(thm)],[])).
% 237.86/238.01 tff(215,plain,
% 237.86/238.01 (((~![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))) | (accept_population(countrybcivilorganization, muslim, n7) | (~accept_population(countrybcivilorganization, muslim, n65)) | (~less(n7, n65)))) <=> ((~![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))) | ((~accept_population(countrybcivilorganization, muslim, n65)) | accept_population(countrybcivilorganization, muslim, n7) | (~less(n7, n65))))),
% 237.86/238.01 inference(monotonicity,[status(thm)],[214])).
% 237.86/238.01 tff(216,plain,
% 237.86/238.01 (((~![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))) | (accept_population(countrybcivilorganization, muslim, n7) | (~accept_population(countrybcivilorganization, muslim, n65)) | (~less(n7, n65)))) <=> ((~![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))) | (~accept_population(countrybcivilorganization, muslim, n65)) | accept_population(countrybcivilorganization, muslim, n7) | (~less(n7, n65)))),
% 237.86/238.01 inference(transitivity,[status(thm)],[215, 213])).
% 237.86/238.01 tff(217,plain,
% 237.86/238.01 ((~![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))) | (accept_population(countrybcivilorganization, muslim, n7) | (~accept_population(countrybcivilorganization, muslim, n65)) | (~less(n7, n65)))),
% 237.86/238.01 inference(quant_inst,[status(thm)],[])).
% 237.86/238.01 tff(218,plain,
% 237.86/238.01 ((~![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))) | (~accept_population(countrybcivilorganization, muslim, n65)) | accept_population(countrybcivilorganization, muslim, n7) | (~less(n7, n65))),
% 237.86/238.01 inference(modus_ponens,[status(thm)],[217, 216])).
% 237.86/238.01 tff(219,plain,
% 237.86/238.01 ($false),
% 237.86/238.01 inference(unit_resolution,[status(thm)],[218, 132, 212, 167, 166])).
% 237.86/238.01 tff(220,plain,(accept_population(countrybcivilorganization, muslim, n7)), inference(lemma,lemma(discharge,[]))).
% 237.86/238.01 tff(221,assumption,(~less(n65, n78)), introduced(assumption)).
% 237.86/238.01 tff(222,plain,
% 237.86/238.01 (^[Ds: $i, Os: $i, Db: $i, Ob: $i] : refl(((~rdn_positive_less(Os, Ob)) | rdn_positive_less(rdn(rdnn(Ds), Os), rdn(rdnn(Db), Ob))) <=> ((~rdn_positive_less(Os, Ob)) | rdn_positive_less(rdn(rdnn(Ds), Os), rdn(rdnn(Db), Ob))))),
% 237.86/238.01 inference(bind,[status(th)],[])).
% 237.86/238.01 tff(223,plain,
% 237.86/238.01 (![Ds: $i, Os: $i, Db: $i, Ob: $i] : ((~rdn_positive_less(Os, Ob)) | rdn_positive_less(rdn(rdnn(Ds), Os), rdn(rdnn(Db), Ob))) <=> ![Ds: $i, Os: $i, Db: $i, Ob: $i] : ((~rdn_positive_less(Os, Ob)) | rdn_positive_less(rdn(rdnn(Ds), Os), rdn(rdnn(Db), Ob)))),
% 237.86/238.01 inference(quant_intro,[status(thm)],[222])).
% 237.86/238.01 tff(224,plain,
% 237.86/238.01 (![Ds: $i, Os: $i, Db: $i, Ob: $i] : ((~rdn_positive_less(Os, Ob)) | rdn_positive_less(rdn(rdnn(Ds), Os), rdn(rdnn(Db), Ob))) <=> ![Ds: $i, Os: $i, Db: $i, Ob: $i] : ((~rdn_positive_less(Os, Ob)) | rdn_positive_less(rdn(rdnn(Ds), Os), rdn(rdnn(Db), Ob)))),
% 237.86/238.01 inference(rewrite,[status(thm)],[])).
% 237.86/238.01 tff(225,plain,
% 237.86/238.01 (^[Ds: $i, Os: $i, Db: $i, Ob: $i] : rewrite((rdn_positive_less(Os, Ob) => rdn_positive_less(rdn(rdnn(Ds), Os), rdn(rdnn(Db), Ob))) <=> ((~rdn_positive_less(Os, Ob)) | rdn_positive_less(rdn(rdnn(Ds), Os), rdn(rdnn(Db), Ob))))),
% 237.86/238.01 inference(bind,[status(th)],[])).
% 237.86/238.01 tff(226,plain,
% 237.86/238.01 (![Ds: $i, Os: $i, Db: $i, Ob: $i] : (rdn_positive_less(Os, Ob) => rdn_positive_less(rdn(rdnn(Ds), Os), rdn(rdnn(Db), Ob))) <=> ![Ds: $i, Os: $i, Db: $i, Ob: $i] : ((~rdn_positive_less(Os, Ob)) | rdn_positive_less(rdn(rdnn(Ds), Os), rdn(rdnn(Db), Ob)))),
% 237.86/238.01 inference(quant_intro,[status(thm)],[225])).
% 237.86/238.01 tff(227,axiom,(![Ds: $i, Os: $i, Db: $i, Ob: $i] : (rdn_positive_less(Os, Ob) => rdn_positive_less(rdn(rdnn(Ds), Os), rdn(rdnn(Db), Ob)))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax','rdn_positive_less_multi_digit_high')).
% 237.86/238.01 tff(228,plain,
% 237.86/238.01 (![Ds: $i, Os: $i, Db: $i, Ob: $i] : ((~rdn_positive_less(Os, Ob)) | rdn_positive_less(rdn(rdnn(Ds), Os), rdn(rdnn(Db), Ob)))),
% 237.86/238.01 inference(modus_ponens,[status(thm)],[227, 226])).
% 237.86/238.01 tff(229,plain,
% 237.86/238.01 (![Ds: $i, Os: $i, Db: $i, Ob: $i] : ((~rdn_positive_less(Os, Ob)) | rdn_positive_less(rdn(rdnn(Ds), Os), rdn(rdnn(Db), Ob)))),
% 237.86/238.01 inference(modus_ponens,[status(thm)],[228, 224])).
% 237.86/238.01 tff(230,plain,(
% 237.86/238.01 ![Ds: $i, Os: $i, Db: $i, Ob: $i] : ((~rdn_positive_less(Os, Ob)) | rdn_positive_less(rdn(rdnn(Ds), Os), rdn(rdnn(Db), Ob)))),
% 237.86/238.01 inference(skolemize,[status(sab)],[229])).
% 237.86/238.01 tff(231,plain,
% 237.86/238.01 (![Ds: $i, Os: $i, Db: $i, Ob: $i] : ((~rdn_positive_less(Os, Ob)) | rdn_positive_less(rdn(rdnn(Ds), Os), rdn(rdnn(Db), Ob)))),
% 237.86/238.01 inference(modus_ponens,[status(thm)],[230, 223])).
% 237.86/238.01 tff(232,plain,
% 237.86/238.01 (rdn_positive_less(rdnn(n6), rdnn(n7)) <=> rdn_positive_less(rdnn(n6), rdnn(n7))),
% 237.86/238.01 inference(rewrite,[status(thm)],[])).
% 237.86/238.01 tff(233,axiom,(rdn_positive_less(rdnn(n6), rdnn(n7))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax','rdn_positive_less67')).
% 237.86/238.01 tff(234,plain,
% 237.86/238.01 (rdn_positive_less(rdnn(n6), rdnn(n7))),
% 237.86/238.01 inference(modus_ponens,[status(thm)],[233, 232])).
% 237.86/238.01 tff(235,plain,
% 237.86/238.01 (((~![Ds: $i, Os: $i, Db: $i, Ob: $i] : ((~rdn_positive_less(Os, Ob)) | rdn_positive_less(rdn(rdnn(Ds), Os), rdn(rdnn(Db), Ob)))) | ((~rdn_positive_less(rdnn(n6), rdnn(n7))) | rdn_positive_less(rdn(rdnn(n5), rdnn(n6)), rdn(rdnn(n8), rdnn(n7))))) <=> ((~![Ds: $i, Os: $i, Db: $i, Ob: $i] : ((~rdn_positive_less(Os, Ob)) | rdn_positive_less(rdn(rdnn(Ds), Os), rdn(rdnn(Db), Ob)))) | (~rdn_positive_less(rdnn(n6), rdnn(n7))) | rdn_positive_less(rdn(rdnn(n5), rdnn(n6)), rdn(rdnn(n8), rdnn(n7))))),
% 237.86/238.01 inference(rewrite,[status(thm)],[])).
% 237.86/238.01 tff(236,plain,
% 237.86/238.01 ((~![Ds: $i, Os: $i, Db: $i, Ob: $i] : ((~rdn_positive_less(Os, Ob)) | rdn_positive_less(rdn(rdnn(Ds), Os), rdn(rdnn(Db), Ob)))) | ((~rdn_positive_less(rdnn(n6), rdnn(n7))) | rdn_positive_less(rdn(rdnn(n5), rdnn(n6)), rdn(rdnn(n8), rdnn(n7))))),
% 237.86/238.01 inference(quant_inst,[status(thm)],[])).
% 237.86/238.01 tff(237,plain,
% 237.86/238.01 ((~![Ds: $i, Os: $i, Db: $i, Ob: $i] : ((~rdn_positive_less(Os, Ob)) | rdn_positive_less(rdn(rdnn(Ds), Os), rdn(rdnn(Db), Ob)))) | (~rdn_positive_less(rdnn(n6), rdnn(n7))) | rdn_positive_less(rdn(rdnn(n5), rdnn(n6)), rdn(rdnn(n8), rdnn(n7)))),
% 237.86/238.01 inference(modus_ponens,[status(thm)],[236, 235])).
% 237.86/238.01 tff(238,plain,
% 237.86/238.01 (rdn_positive_less(rdn(rdnn(n5), rdnn(n6)), rdn(rdnn(n8), rdnn(n7)))),
% 237.86/238.01 inference(unit_resolution,[status(thm)],[237, 234, 231])).
% 237.86/238.01 tff(239,plain,
% 237.86/238.01 (rdn_translate(n78, rdn_pos(rdn(rdnn(n8), rdnn(n7)))) <=> rdn_translate(n78, rdn_pos(rdn(rdnn(n8), rdnn(n7))))),
% 237.86/238.01 inference(rewrite,[status(thm)],[])).
% 237.86/238.01 tff(240,axiom,(rdn_translate(n78, rdn_pos(rdn(rdnn(n8), rdnn(n7))))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax','rdn78')).
% 237.86/238.01 tff(241,plain,
% 237.86/238.01 (rdn_translate(n78, rdn_pos(rdn(rdnn(n8), rdnn(n7))))),
% 237.86/238.01 inference(modus_ponens,[status(thm)],[240, 239])).
% 237.86/238.01 tff(242,plain,
% 237.86/238.01 (((~![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))) | ((~rdn_positive_less(rdn(rdnn(n5), rdnn(n6)), rdn(rdnn(n8), rdnn(n7)))) | (~rdn_translate(n65, rdn_pos(rdn(rdnn(n5), rdnn(n6))))) | (~rdn_translate(n78, rdn_pos(rdn(rdnn(n8), rdnn(n7))))) | less(n65, n78))) <=> ((~![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))) | (~rdn_positive_less(rdn(rdnn(n5), rdnn(n6)), rdn(rdnn(n8), rdnn(n7)))) | (~rdn_translate(n65, rdn_pos(rdn(rdnn(n5), rdnn(n6))))) | (~rdn_translate(n78, rdn_pos(rdn(rdnn(n8), rdnn(n7))))) | less(n65, n78))),
% 237.86/238.01 inference(rewrite,[status(thm)],[])).
% 237.86/238.01 tff(243,plain,
% 237.86/238.01 ((less(n65, n78) | (~rdn_translate(n65, rdn_pos(rdn(rdnn(n5), rdnn(n6))))) | (~rdn_translate(n78, rdn_pos(rdn(rdnn(n8), rdnn(n7))))) | (~rdn_positive_less(rdn(rdnn(n5), rdnn(n6)), rdn(rdnn(n8), rdnn(n7))))) <=> ((~rdn_positive_less(rdn(rdnn(n5), rdnn(n6)), rdn(rdnn(n8), rdnn(n7)))) | (~rdn_translate(n65, rdn_pos(rdn(rdnn(n5), rdnn(n6))))) | (~rdn_translate(n78, rdn_pos(rdn(rdnn(n8), rdnn(n7))))) | less(n65, n78))),
% 237.86/238.01 inference(rewrite,[status(thm)],[])).
% 237.86/238.01 tff(244,plain,
% 237.86/238.01 (((~![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))) | (less(n65, n78) | (~rdn_translate(n65, rdn_pos(rdn(rdnn(n5), rdnn(n6))))) | (~rdn_translate(n78, rdn_pos(rdn(rdnn(n8), rdnn(n7))))) | (~rdn_positive_less(rdn(rdnn(n5), rdnn(n6)), rdn(rdnn(n8), rdnn(n7)))))) <=> ((~![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))) | ((~rdn_positive_less(rdn(rdnn(n5), rdnn(n6)), rdn(rdnn(n8), rdnn(n7)))) | (~rdn_translate(n65, rdn_pos(rdn(rdnn(n5), rdnn(n6))))) | (~rdn_translate(n78, rdn_pos(rdn(rdnn(n8), rdnn(n7))))) | less(n65, n78)))),
% 237.86/238.01 inference(monotonicity,[status(thm)],[243])).
% 237.86/238.01 tff(245,plain,
% 237.86/238.01 (((~![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))) | (less(n65, n78) | (~rdn_translate(n65, rdn_pos(rdn(rdnn(n5), rdnn(n6))))) | (~rdn_translate(n78, rdn_pos(rdn(rdnn(n8), rdnn(n7))))) | (~rdn_positive_less(rdn(rdnn(n5), rdnn(n6)), rdn(rdnn(n8), rdnn(n7)))))) <=> ((~![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))) | (~rdn_positive_less(rdn(rdnn(n5), rdnn(n6)), rdn(rdnn(n8), rdnn(n7)))) | (~rdn_translate(n65, rdn_pos(rdn(rdnn(n5), rdnn(n6))))) | (~rdn_translate(n78, rdn_pos(rdn(rdnn(n8), rdnn(n7))))) | less(n65, n78))),
% 237.86/238.01 inference(transitivity,[status(thm)],[244, 242])).
% 237.86/238.01 tff(246,plain,
% 237.86/238.01 ((~![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))) | (less(n65, n78) | (~rdn_translate(n65, rdn_pos(rdn(rdnn(n5), rdnn(n6))))) | (~rdn_translate(n78, rdn_pos(rdn(rdnn(n8), rdnn(n7))))) | (~rdn_positive_less(rdn(rdnn(n5), rdnn(n6)), rdn(rdnn(n8), rdnn(n7)))))),
% 237.86/238.01 inference(quant_inst,[status(thm)],[])).
% 237.86/238.01 tff(247,plain,
% 237.86/238.01 ((~![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))) | (~rdn_positive_less(rdn(rdnn(n5), rdnn(n6)), rdn(rdnn(n8), rdnn(n7)))) | (~rdn_translate(n65, rdn_pos(rdn(rdnn(n5), rdnn(n6))))) | (~rdn_translate(n78, rdn_pos(rdn(rdnn(n8), rdnn(n7))))) | less(n65, n78)),
% 237.86/238.01 inference(modus_ponens,[status(thm)],[246, 245])).
% 237.86/238.01 tff(248,plain,
% 237.86/238.01 ($false),
% 237.86/238.01 inference(unit_resolution,[status(thm)],[247, 155, 241, 14, 238, 221])).
% 237.86/238.01 tff(249,plain,(less(n65, n78)), inference(lemma,lemma(discharge,[]))).
% 237.86/238.01 tff(250,assumption,(~accept_population(countrybcivilorganization, atheist, n65)), introduced(assumption)).
% 237.86/238.01 tff(251,plain,
% 237.86/238.01 (^[A: $i] : refl((~(((~accept_population(A, atheist, n78)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n1))) <=> accept_city(A, cityb))) <=> (~(((~accept_population(A, atheist, n78)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n1))) <=> accept_city(A, cityb))))),
% 237.86/238.01 inference(bind,[status(th)],[])).
% 237.86/238.01 tff(252,plain,
% 237.86/238.01 (![A: $i] : (~(((~accept_population(A, atheist, n78)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n1))) <=> accept_city(A, cityb))) <=> ![A: $i] : (~(((~accept_population(A, atheist, n78)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n1))) <=> accept_city(A, cityb)))),
% 237.86/238.01 inference(quant_intro,[status(thm)],[251])).
% 237.86/238.01 tff(253,plain,
% 237.86/238.01 (^[A: $i] : trans(trans(monotonicity(rewrite((accept_population(A, atheist, n78) & accept_population(A, christian, n20) & accept_population(A, muslim, n1) & accept_population(A, native, n0) & accept_population(A, other, n1)) <=> (~((~accept_population(A, atheist, n78)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n1))))), (((accept_population(A, atheist, n78) & accept_population(A, christian, n20) & accept_population(A, muslim, n1) & accept_population(A, native, n0) & accept_population(A, other, n1)) <=> accept_city(A, cityb)) <=> ((~((~accept_population(A, atheist, n78)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n1)))) <=> accept_city(A, cityb)))), rewrite(((~((~accept_population(A, atheist, n78)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n1)))) <=> accept_city(A, cityb)) <=> (~(((~accept_population(A, atheist, n78)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n1))) <=> accept_city(A, cityb)))), (((accept_population(A, atheist, n78) & accept_population(A, christian, n20) & accept_population(A, muslim, n1) & accept_population(A, native, n0) & accept_population(A, other, n1)) <=> accept_city(A, cityb)) <=> (~(((~accept_population(A, atheist, n78)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n1))) <=> accept_city(A, cityb))))), rewrite((~(((~accept_population(A, atheist, n78)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n1))) <=> accept_city(A, cityb))) <=> (~(((~accept_population(A, atheist, n78)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n1))) <=> accept_city(A, cityb)))), (((accept_population(A, atheist, n78) & accept_population(A, christian, n20) & accept_population(A, muslim, n1) & accept_population(A, native, n0) & accept_population(A, other, n1)) <=> accept_city(A, cityb)) <=> (~(((~accept_population(A, atheist, n78)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n1))) <=> accept_city(A, cityb)))))),
% 237.86/238.01 inference(bind,[status(th)],[])).
% 237.86/238.01 tff(254,plain,
% 237.86/238.01 (![A: $i] : ((accept_population(A, atheist, n78) & accept_population(A, christian, n20) & accept_population(A, muslim, n1) & accept_population(A, native, n0) & accept_population(A, other, n1)) <=> accept_city(A, cityb)) <=> ![A: $i] : (~(((~accept_population(A, atheist, n78)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n1))) <=> accept_city(A, cityb)))),
% 237.86/238.01 inference(quant_intro,[status(thm)],[253])).
% 237.86/238.01 tff(255,plain,
% 237.86/238.01 (![A: $i] : ((accept_population(A, atheist, n78) & accept_population(A, christian, n20) & accept_population(A, muslim, n1) & accept_population(A, native, n0) & accept_population(A, other, n1)) <=> accept_city(A, cityb)) <=> ![A: $i] : ((accept_population(A, atheist, n78) & accept_population(A, christian, n20) & accept_population(A, muslim, n1) & accept_population(A, native, n0) & accept_population(A, other, n1)) <=> accept_city(A, cityb))),
% 237.86/238.01 inference(rewrite,[status(thm)],[])).
% 237.86/238.01 tff(256,plain,
% 237.86/238.01 (^[A: $i] : rewrite((((((accept_population(A, atheist, n78) & accept_population(A, christian, n20)) & accept_population(A, muslim, n1)) & accept_population(A, native, n0)) & accept_population(A, other, n1)) <=> accept_city(A, cityb)) <=> ((accept_population(A, atheist, n78) & accept_population(A, christian, n20) & accept_population(A, muslim, n1) & accept_population(A, native, n0) & accept_population(A, other, n1)) <=> accept_city(A, cityb)))),
% 237.86/238.02 inference(bind,[status(th)],[])).
% 237.86/238.02 tff(257,plain,
% 237.86/238.02 (![A: $i] : (((((accept_population(A, atheist, n78) & accept_population(A, christian, n20)) & accept_population(A, muslim, n1)) & accept_population(A, native, n0)) & accept_population(A, other, n1)) <=> accept_city(A, cityb)) <=> ![A: $i] : ((accept_population(A, atheist, n78) & accept_population(A, christian, n20) & accept_population(A, muslim, n1) & accept_population(A, native, n0) & accept_population(A, other, n1)) <=> accept_city(A, cityb))),
% 237.86/238.02 inference(quant_intro,[status(thm)],[256])).
% 237.86/238.02 tff(258,axiom,(![A: $i] : (((((accept_population(A, atheist, n78) & accept_population(A, christian, n20)) & accept_population(A, muslim, n1)) & accept_population(A, native, n0)) & accept_population(A, other, n1)) <=> accept_city(A, cityb))), file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax','a2_12')).
% 237.86/238.02 tff(259,plain,
% 237.86/238.02 (![A: $i] : ((accept_population(A, atheist, n78) & accept_population(A, christian, n20) & accept_population(A, muslim, n1) & accept_population(A, native, n0) & accept_population(A, other, n1)) <=> accept_city(A, cityb))),
% 237.86/238.02 inference(modus_ponens,[status(thm)],[258, 257])).
% 237.86/238.02 tff(260,plain,
% 237.86/238.02 (![A: $i] : ((accept_population(A, atheist, n78) & accept_population(A, christian, n20) & accept_population(A, muslim, n1) & accept_population(A, native, n0) & accept_population(A, other, n1)) <=> accept_city(A, cityb))),
% 237.86/238.02 inference(modus_ponens,[status(thm)],[259, 255])).
% 237.86/238.02 tff(261,plain,(
% 237.86/238.02 ![A: $i] : ((accept_population(A, atheist, n78) & accept_population(A, christian, n20) & accept_population(A, muslim, n1) & accept_population(A, native, n0) & accept_population(A, other, n1)) <=> accept_city(A, cityb))),
% 237.86/238.02 inference(skolemize,[status(sab)],[260])).
% 237.86/238.02 tff(262,plain,
% 237.86/238.02 (![A: $i] : (~(((~accept_population(A, atheist, n78)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n1))) <=> accept_city(A, cityb)))),
% 237.86/238.02 inference(modus_ponens,[status(thm)],[261, 254])).
% 237.86/238.02 tff(263,plain,
% 237.86/238.02 (![A: $i] : (~(((~accept_population(A, atheist, n78)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n1))) <=> accept_city(A, cityb)))),
% 237.86/238.02 inference(modus_ponens,[status(thm)],[262, 252])).
% 237.86/238.02 tff(264,plain,
% 237.86/238.02 ((~![A: $i] : (~(((~accept_population(A, atheist, n78)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n1))) <=> accept_city(A, cityb)))) | (~(((~accept_population(countrybcivilorganization, atheist, n78)) | (~accept_population(countrybcivilorganization, christian, n20)) | (~accept_population(countrybcivilorganization, muslim, n1)) | (~accept_population(countrybcivilorganization, native, n0)) | (~accept_population(countrybcivilorganization, other, n1))) <=> accept_city(countrybcivilorganization, cityb)))),
% 237.86/238.02 inference(quant_inst,[status(thm)],[])).
% 237.86/238.02 tff(265,plain,
% 237.86/238.02 (~(((~accept_population(countrybcivilorganization, atheist, n78)) | (~accept_population(countrybcivilorganization, christian, n20)) | (~accept_population(countrybcivilorganization, muslim, n1)) | (~accept_population(countrybcivilorganization, native, n0)) | (~accept_population(countrybcivilorganization, other, n1))) <=> accept_city(countrybcivilorganization, cityb))),
% 237.86/238.02 inference(unit_resolution,[status(thm)],[264, 263])).
% 237.86/238.02 tff(266,plain,
% 237.86/238.02 ((~![A: $i, C: $i, N: $i, L: $i] : (~(((~accept_city(A, C)) | (~accept_leader(A, L)) | (~accept_number(A, N))) <=> accept_team(A, L, C, N)))) | (~(((~accept_city(countrybcivilorganization, cityb)) | (~accept_leader(countrybcivilorganization, countrybhumanitarianorganization)) | (~accept_number(countrybcivilorganization, n4))) <=> accept_team(countrybcivilorganization, countrybhumanitarianorganization, cityb, n4)))),
% 237.86/238.02 inference(quant_inst,[status(thm)],[])).
% 237.86/238.02 tff(267,plain,
% 237.86/238.02 (~(((~accept_city(countrybcivilorganization, cityb)) | (~accept_leader(countrybcivilorganization, countrybhumanitarianorganization)) | (~accept_number(countrybcivilorganization, n4))) <=> accept_team(countrybcivilorganization, countrybhumanitarianorganization, cityb, n4))),
% 237.86/238.02 inference(unit_resolution,[status(thm)],[266, 104])).
% 237.86/238.02 tff(268,plain,
% 237.86/238.02 (accept_team(countrybcivilorganization, countrybhumanitarianorganization, cityb, n4) <=> accept_team(countrybcivilorganization, countrybhumanitarianorganization, cityb, n4)),
% 237.86/238.02 inference(rewrite,[status(thm)],[])).
% 237.86/238.02 tff(269,axiom,(accept_team(countrybcivilorganization, countrybhumanitarianorganization, cityb, n4)), file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+1.ax','event_18')).
% 237.86/238.02 tff(270,plain,
% 237.86/238.02 (accept_team(countrybcivilorganization, countrybhumanitarianorganization, cityb, n4)),
% 237.86/238.02 inference(modus_ponens,[status(thm)],[269, 268])).
% 237.86/238.02 tff(271,plain,
% 237.86/238.02 ((((~accept_city(countrybcivilorganization, cityb)) | (~accept_leader(countrybcivilorganization, countrybhumanitarianorganization)) | (~accept_number(countrybcivilorganization, n4))) <=> accept_team(countrybcivilorganization, countrybhumanitarianorganization, cityb, n4)) | (~((~accept_city(countrybcivilorganization, cityb)) | (~accept_leader(countrybcivilorganization, countrybhumanitarianorganization)) | (~accept_number(countrybcivilorganization, n4)))) | (~accept_team(countrybcivilorganization, countrybhumanitarianorganization, cityb, n4))),
% 237.86/238.02 inference(tautology,[status(thm)],[])).
% 237.86/238.02 tff(272,plain,
% 237.86/238.02 ((((~accept_city(countrybcivilorganization, cityb)) | (~accept_leader(countrybcivilorganization, countrybhumanitarianorganization)) | (~accept_number(countrybcivilorganization, n4))) <=> accept_team(countrybcivilorganization, countrybhumanitarianorganization, cityb, n4)) | (~((~accept_city(countrybcivilorganization, cityb)) | (~accept_leader(countrybcivilorganization, countrybhumanitarianorganization)) | (~accept_number(countrybcivilorganization, n4))))),
% 237.86/238.02 inference(unit_resolution,[status(thm)],[271, 270])).
% 237.86/238.02 tff(273,plain,
% 237.86/238.02 (~((~accept_city(countrybcivilorganization, cityb)) | (~accept_leader(countrybcivilorganization, countrybhumanitarianorganization)) | (~accept_number(countrybcivilorganization, n4)))),
% 237.86/238.02 inference(unit_resolution,[status(thm)],[272, 267])).
% 237.86/238.02 tff(274,plain,
% 237.86/238.02 (((~accept_city(countrybcivilorganization, cityb)) | (~accept_leader(countrybcivilorganization, countrybhumanitarianorganization)) | (~accept_number(countrybcivilorganization, n4))) | accept_city(countrybcivilorganization, cityb)),
% 237.86/238.02 inference(tautology,[status(thm)],[])).
% 237.86/238.02 tff(275,plain,
% 237.86/238.02 (accept_city(countrybcivilorganization, cityb)),
% 237.86/238.02 inference(unit_resolution,[status(thm)],[274, 273])).
% 237.86/238.02 tff(276,plain,
% 237.86/238.02 ((((~accept_population(countrybcivilorganization, atheist, n78)) | (~accept_population(countrybcivilorganization, christian, n20)) | (~accept_population(countrybcivilorganization, muslim, n1)) | (~accept_population(countrybcivilorganization, native, n0)) | (~accept_population(countrybcivilorganization, other, n1))) <=> accept_city(countrybcivilorganization, cityb)) | (~((~accept_population(countrybcivilorganization, atheist, n78)) | (~accept_population(countrybcivilorganization, christian, n20)) | (~accept_population(countrybcivilorganization, muslim, n1)) | (~accept_population(countrybcivilorganization, native, n0)) | (~accept_population(countrybcivilorganization, other, n1)))) | (~accept_city(countrybcivilorganization, cityb))),
% 237.86/238.02 inference(tautology,[status(thm)],[])).
% 237.86/238.02 tff(277,plain,
% 237.86/238.02 ((((~accept_population(countrybcivilorganization, atheist, n78)) | (~accept_population(countrybcivilorganization, christian, n20)) | (~accept_population(countrybcivilorganization, muslim, n1)) | (~accept_population(countrybcivilorganization, native, n0)) | (~accept_population(countrybcivilorganization, other, n1))) <=> accept_city(countrybcivilorganization, cityb)) | (~((~accept_population(countrybcivilorganization, atheist, n78)) | (~accept_population(countrybcivilorganization, christian, n20)) | (~accept_population(countrybcivilorganization, muslim, n1)) | (~accept_population(countrybcivilorganization, native, n0)) | (~accept_population(countrybcivilorganization, other, n1))))),
% 237.86/238.02 inference(unit_resolution,[status(thm)],[276, 275])).
% 237.86/238.02 tff(278,plain,
% 237.86/238.02 (~((~accept_population(countrybcivilorganization, atheist, n78)) | (~accept_population(countrybcivilorganization, christian, n20)) | (~accept_population(countrybcivilorganization, muslim, n1)) | (~accept_population(countrybcivilorganization, native, n0)) | (~accept_population(countrybcivilorganization, other, n1)))),
% 237.86/238.02 inference(unit_resolution,[status(thm)],[277, 265])).
% 237.86/238.02 tff(279,plain,
% 237.86/238.02 (((~accept_population(countrybcivilorganization, atheist, n78)) | (~accept_population(countrybcivilorganization, christian, n20)) | (~accept_population(countrybcivilorganization, muslim, n1)) | (~accept_population(countrybcivilorganization, native, n0)) | (~accept_population(countrybcivilorganization, other, n1))) | accept_population(countrybcivilorganization, atheist, n78)),
% 237.86/238.02 inference(tautology,[status(thm)],[])).
% 237.86/238.02 tff(280,plain,
% 237.86/238.02 (accept_population(countrybcivilorganization, atheist, n78)),
% 237.86/238.02 inference(unit_resolution,[status(thm)],[279, 278])).
% 237.86/238.02 tff(281,plain,
% 237.86/238.02 (((~![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))) | ((~accept_population(countrybcivilorganization, atheist, n78)) | accept_population(countrybcivilorganization, atheist, n65) | (~less(n65, n78)))) <=> ((~![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))) | (~accept_population(countrybcivilorganization, atheist, n78)) | accept_population(countrybcivilorganization, atheist, n65) | (~less(n65, n78)))),
% 237.86/238.02 inference(rewrite,[status(thm)],[])).
% 237.86/238.02 tff(282,plain,
% 237.86/238.02 ((accept_population(countrybcivilorganization, atheist, n65) | (~accept_population(countrybcivilorganization, atheist, n78)) | (~less(n65, n78))) <=> ((~accept_population(countrybcivilorganization, atheist, n78)) | accept_population(countrybcivilorganization, atheist, n65) | (~less(n65, n78)))),
% 237.86/238.02 inference(rewrite,[status(thm)],[])).
% 237.86/238.02 tff(283,plain,
% 237.86/238.02 (((~![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))) | (accept_population(countrybcivilorganization, atheist, n65) | (~accept_population(countrybcivilorganization, atheist, n78)) | (~less(n65, n78)))) <=> ((~![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))) | ((~accept_population(countrybcivilorganization, atheist, n78)) | accept_population(countrybcivilorganization, atheist, n65) | (~less(n65, n78))))),
% 237.86/238.02 inference(monotonicity,[status(thm)],[282])).
% 237.86/238.02 tff(284,plain,
% 237.86/238.02 (((~![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))) | (accept_population(countrybcivilorganization, atheist, n65) | (~accept_population(countrybcivilorganization, atheist, n78)) | (~less(n65, n78)))) <=> ((~![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))) | (~accept_population(countrybcivilorganization, atheist, n78)) | accept_population(countrybcivilorganization, atheist, n65) | (~less(n65, n78)))),
% 237.86/238.02 inference(transitivity,[status(thm)],[283, 281])).
% 237.86/238.02 tff(285,plain,
% 237.86/238.02 ((~![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))) | (accept_population(countrybcivilorganization, atheist, n65) | (~accept_population(countrybcivilorganization, atheist, n78)) | (~less(n65, n78)))),
% 237.86/238.02 inference(quant_inst,[status(thm)],[])).
% 237.86/238.02 tff(286,plain,
% 237.86/238.02 ((~![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))) | (~accept_population(countrybcivilorganization, atheist, n78)) | accept_population(countrybcivilorganization, atheist, n65) | (~less(n65, n78))),
% 237.86/238.02 inference(modus_ponens,[status(thm)],[285, 284])).
% 237.86/238.02 tff(287,plain,
% 237.86/238.02 ($false),
% 237.86/238.02 inference(unit_resolution,[status(thm)],[286, 132, 280, 250, 249])).
% 237.86/238.02 tff(288,plain,(accept_population(countrybcivilorganization, atheist, n65)), inference(lemma,lemma(discharge,[]))).
% 237.86/238.02 tff(289,plain,
% 237.86/238.02 (^[A: $i] : refl((~(((~accept_population(A, atheist, n65)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n7)) | (~accept_population(A, native, n4)) | (~accept_population(A, other, n4))) <=> accept_city(A, suffertown))) <=> (~(((~accept_population(A, atheist, n65)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n7)) | (~accept_population(A, native, n4)) | (~accept_population(A, other, n4))) <=> accept_city(A, suffertown))))),
% 237.86/238.02 inference(bind,[status(th)],[])).
% 237.86/238.02 tff(290,plain,
% 237.86/238.02 (![A: $i] : (~(((~accept_population(A, atheist, n65)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n7)) | (~accept_population(A, native, n4)) | (~accept_population(A, other, n4))) <=> accept_city(A, suffertown))) <=> ![A: $i] : (~(((~accept_population(A, atheist, n65)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n7)) | (~accept_population(A, native, n4)) | (~accept_population(A, other, n4))) <=> accept_city(A, suffertown)))),
% 237.86/238.02 inference(quant_intro,[status(thm)],[289])).
% 237.86/238.02 tff(291,plain,
% 237.86/238.02 (^[A: $i] : trans(trans(monotonicity(rewrite((accept_population(A, atheist, n65) & accept_population(A, christian, n20) & accept_population(A, muslim, n7) & accept_population(A, native, n4) & accept_population(A, other, n4)) <=> (~((~accept_population(A, atheist, n65)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n7)) | (~accept_population(A, native, n4)) | (~accept_population(A, other, n4))))), (((accept_population(A, atheist, n65) & accept_population(A, christian, n20) & accept_population(A, muslim, n7) & accept_population(A, native, n4) & accept_population(A, other, n4)) <=> accept_city(A, suffertown)) <=> ((~((~accept_population(A, atheist, n65)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n7)) | (~accept_population(A, native, n4)) | (~accept_population(A, other, n4)))) <=> accept_city(A, suffertown)))), rewrite(((~((~accept_population(A, atheist, n65)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n7)) | (~accept_population(A, native, n4)) | (~accept_population(A, other, n4)))) <=> accept_city(A, suffertown)) <=> (~(((~accept_population(A, atheist, n65)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n7)) | (~accept_population(A, native, n4)) | (~accept_population(A, other, n4))) <=> accept_city(A, suffertown)))), (((accept_population(A, atheist, n65) & accept_population(A, christian, n20) & accept_population(A, muslim, n7) & accept_population(A, native, n4) & accept_population(A, other, n4)) <=> accept_city(A, suffertown)) <=> (~(((~accept_population(A, atheist, n65)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n7)) | (~accept_population(A, native, n4)) | (~accept_population(A, other, n4))) <=> accept_city(A, suffertown))))), rewrite((~(((~accept_population(A, atheist, n65)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n7)) | (~accept_population(A, native, n4)) | (~accept_population(A, other, n4))) <=> accept_city(A, suffertown))) <=> (~(((~accept_population(A, atheist, n65)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n7)) | (~accept_population(A, native, n4)) | (~accept_population(A, other, n4))) <=> accept_city(A, suffertown)))), (((accept_population(A, atheist, n65) & accept_population(A, christian, n20) & accept_population(A, muslim, n7) & accept_population(A, native, n4) & accept_population(A, other, n4)) <=> accept_city(A, suffertown)) <=> (~(((~accept_population(A, atheist, n65)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n7)) | (~accept_population(A, native, n4)) | (~accept_population(A, other, n4))) <=> accept_city(A, suffertown)))))),
% 237.86/238.02 inference(bind,[status(th)],[])).
% 237.86/238.02 tff(292,plain,
% 237.86/238.02 (![A: $i] : ((accept_population(A, atheist, n65) & accept_population(A, christian, n20) & accept_population(A, muslim, n7) & accept_population(A, native, n4) & accept_population(A, other, n4)) <=> accept_city(A, suffertown)) <=> ![A: $i] : (~(((~accept_population(A, atheist, n65)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n7)) | (~accept_population(A, native, n4)) | (~accept_population(A, other, n4))) <=> accept_city(A, suffertown)))),
% 237.86/238.02 inference(quant_intro,[status(thm)],[291])).
% 237.86/238.02 tff(293,plain,
% 237.86/238.02 (![A: $i] : ((accept_population(A, atheist, n65) & accept_population(A, christian, n20) & accept_population(A, muslim, n7) & accept_population(A, native, n4) & accept_population(A, other, n4)) <=> accept_city(A, suffertown)) <=> ![A: $i] : ((accept_population(A, atheist, n65) & accept_population(A, christian, n20) & accept_population(A, muslim, n7) & accept_population(A, native, n4) & accept_population(A, other, n4)) <=> accept_city(A, suffertown))),
% 237.86/238.02 inference(rewrite,[status(thm)],[])).
% 237.86/238.02 tff(294,plain,
% 237.86/238.02 (^[A: $i] : rewrite((((((accept_population(A, atheist, n65) & accept_population(A, christian, n20)) & accept_population(A, muslim, n7)) & accept_population(A, native, n4)) & accept_population(A, other, n4)) <=> accept_city(A, suffertown)) <=> ((accept_population(A, atheist, n65) & accept_population(A, christian, n20) & accept_population(A, muslim, n7) & accept_population(A, native, n4) & accept_population(A, other, n4)) <=> accept_city(A, suffertown)))),
% 237.86/238.02 inference(bind,[status(th)],[])).
% 237.86/238.02 tff(295,plain,
% 237.86/238.02 (![A: $i] : (((((accept_population(A, atheist, n65) & accept_population(A, christian, n20)) & accept_population(A, muslim, n7)) & accept_population(A, native, n4)) & accept_population(A, other, n4)) <=> accept_city(A, suffertown)) <=> ![A: $i] : ((accept_population(A, atheist, n65) & accept_population(A, christian, n20) & accept_population(A, muslim, n7) & accept_population(A, native, n4) & accept_population(A, other, n4)) <=> accept_city(A, suffertown))),
% 237.86/238.02 inference(quant_intro,[status(thm)],[294])).
% 237.86/238.02 tff(296,axiom,(![A: $i] : (((((accept_population(A, atheist, n65) & accept_population(A, christian, n20)) & accept_population(A, muslim, n7)) & accept_population(A, native, n4)) & accept_population(A, other, n4)) <=> accept_city(A, suffertown))), file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax','a2_1')).
% 237.86/238.02 tff(297,plain,
% 237.86/238.02 (![A: $i] : ((accept_population(A, atheist, n65) & accept_population(A, christian, n20) & accept_population(A, muslim, n7) & accept_population(A, native, n4) & accept_population(A, other, n4)) <=> accept_city(A, suffertown))),
% 237.86/238.02 inference(modus_ponens,[status(thm)],[296, 295])).
% 237.86/238.02 tff(298,plain,
% 237.86/238.02 (![A: $i] : ((accept_population(A, atheist, n65) & accept_population(A, christian, n20) & accept_population(A, muslim, n7) & accept_population(A, native, n4) & accept_population(A, other, n4)) <=> accept_city(A, suffertown))),
% 237.86/238.02 inference(modus_ponens,[status(thm)],[297, 293])).
% 237.86/238.02 tff(299,plain,(
% 237.86/238.02 ![A: $i] : ((accept_population(A, atheist, n65) & accept_population(A, christian, n20) & accept_population(A, muslim, n7) & accept_population(A, native, n4) & accept_population(A, other, n4)) <=> accept_city(A, suffertown))),
% 237.86/238.02 inference(skolemize,[status(sab)],[298])).
% 237.86/238.02 tff(300,plain,
% 237.86/238.02 (![A: $i] : (~(((~accept_population(A, atheist, n65)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n7)) | (~accept_population(A, native, n4)) | (~accept_population(A, other, n4))) <=> accept_city(A, suffertown)))),
% 237.86/238.02 inference(modus_ponens,[status(thm)],[299, 292])).
% 237.86/238.02 tff(301,plain,
% 237.86/238.02 (![A: $i] : (~(((~accept_population(A, atheist, n65)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n7)) | (~accept_population(A, native, n4)) | (~accept_population(A, other, n4))) <=> accept_city(A, suffertown)))),
% 237.86/238.02 inference(modus_ponens,[status(thm)],[300, 290])).
% 237.86/238.02 tff(302,plain,
% 237.86/238.02 ((~![A: $i] : (~(((~accept_population(A, atheist, n65)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n7)) | (~accept_population(A, native, n4)) | (~accept_population(A, other, n4))) <=> accept_city(A, suffertown)))) | (~(((~accept_population(countrybcivilorganization, atheist, n65)) | (~accept_population(countrybcivilorganization, christian, n20)) | (~accept_population(countrybcivilorganization, muslim, n7)) | (~accept_population(countrybcivilorganization, native, n4)) | (~accept_population(countrybcivilorganization, other, n4))) <=> accept_city(countrybcivilorganization, suffertown)))),
% 237.86/238.02 inference(quant_inst,[status(thm)],[])).
% 237.86/238.02 tff(303,plain,
% 237.86/238.02 (~(((~accept_population(countrybcivilorganization, atheist, n65)) | (~accept_population(countrybcivilorganization, christian, n20)) | (~accept_population(countrybcivilorganization, muslim, n7)) | (~accept_population(countrybcivilorganization, native, n4)) | (~accept_population(countrybcivilorganization, other, n4))) <=> accept_city(countrybcivilorganization, suffertown))),
% 237.86/238.02 inference(unit_resolution,[status(thm)],[302, 301])).
% 237.86/238.02 tff(304,plain,
% 237.86/238.02 ((~![A: $i, C: $i, N: $i, L: $i] : (~(((~accept_city(A, C)) | (~accept_leader(A, L)) | (~accept_number(A, N))) <=> accept_team(A, L, C, N)))) | (~(((~accept_city(countrybcivilorganization, suffertown)) | (~accept_leader(countrybcivilorganization, countrybhumanitarianorganization)) | (~accept_number(countrybcivilorganization, n4))) <=> accept_team(countrybcivilorganization, countrybhumanitarianorganization, suffertown, n4)))),
% 237.86/238.02 inference(quant_inst,[status(thm)],[])).
% 237.86/238.02 tff(305,plain,
% 237.86/238.02 (~(((~accept_city(countrybcivilorganization, suffertown)) | (~accept_leader(countrybcivilorganization, countrybhumanitarianorganization)) | (~accept_number(countrybcivilorganization, n4))) <=> accept_team(countrybcivilorganization, countrybhumanitarianorganization, suffertown, n4))),
% 237.86/238.02 inference(unit_resolution,[status(thm)],[304, 104])).
% 237.86/238.02 tff(306,plain,
% 237.86/238.02 ((~accept_team(countrybcivilorganization, countrybhumanitarianorganization, suffertown, n4)) <=> (~accept_team(countrybcivilorganization, countrybhumanitarianorganization, suffertown, n4))),
% 237.86/238.02 inference(rewrite,[status(thm)],[])).
% 237.86/238.02 tff(307,axiom,(~accept_team(countrybcivilorganization, countrybhumanitarianorganization, suffertown, n4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','query_6')).
% 237.86/238.02 tff(308,plain,
% 237.86/238.02 (~accept_team(countrybcivilorganization, countrybhumanitarianorganization, suffertown, n4)),
% 237.86/238.02 inference(modus_ponens,[status(thm)],[307, 306])).
% 237.86/238.02 tff(309,plain,
% 237.86/238.02 ((((~accept_city(countrybcivilorganization, suffertown)) | (~accept_leader(countrybcivilorganization, countrybhumanitarianorganization)) | (~accept_number(countrybcivilorganization, n4))) <=> accept_team(countrybcivilorganization, countrybhumanitarianorganization, suffertown, n4)) | ((~accept_city(countrybcivilorganization, suffertown)) | (~accept_leader(countrybcivilorganization, countrybhumanitarianorganization)) | (~accept_number(countrybcivilorganization, n4))) | accept_team(countrybcivilorganization, countrybhumanitarianorganization, suffertown, n4)),
% 237.86/238.02 inference(tautology,[status(thm)],[])).
% 237.86/238.02 tff(310,plain,
% 237.86/238.02 ((((~accept_city(countrybcivilorganization, suffertown)) | (~accept_leader(countrybcivilorganization, countrybhumanitarianorganization)) | (~accept_number(countrybcivilorganization, n4))) <=> accept_team(countrybcivilorganization, countrybhumanitarianorganization, suffertown, n4)) | ((~accept_city(countrybcivilorganization, suffertown)) | (~accept_leader(countrybcivilorganization, countrybhumanitarianorganization)) | (~accept_number(countrybcivilorganization, n4)))),
% 237.86/238.02 inference(unit_resolution,[status(thm)],[309, 308])).
% 237.86/238.02 tff(311,plain,
% 237.86/238.02 ((~accept_city(countrybcivilorganization, suffertown)) | (~accept_leader(countrybcivilorganization, countrybhumanitarianorganization)) | (~accept_number(countrybcivilorganization, n4))),
% 237.86/238.02 inference(unit_resolution,[status(thm)],[310, 305])).
% 237.86/238.02 tff(312,plain,
% 237.86/238.02 (((~accept_city(countrybcivilorganization, cityb)) | (~accept_leader(countrybcivilorganization, countrybhumanitarianorganization)) | (~accept_number(countrybcivilorganization, n4))) | accept_leader(countrybcivilorganization, countrybhumanitarianorganization)),
% 237.86/238.02 inference(tautology,[status(thm)],[])).
% 237.86/238.02 tff(313,plain,
% 237.86/238.02 (accept_leader(countrybcivilorganization, countrybhumanitarianorganization)),
% 237.86/238.02 inference(unit_resolution,[status(thm)],[312, 273])).
% 237.86/238.02 tff(314,plain,
% 237.86/238.02 (((~accept_city(countrybcivilorganization, cityb)) | (~accept_leader(countrybcivilorganization, countrybhumanitarianorganization)) | (~accept_number(countrybcivilorganization, n4))) | accept_number(countrybcivilorganization, n4)),
% 237.86/238.02 inference(tautology,[status(thm)],[])).
% 237.86/238.02 tff(315,plain,
% 237.86/238.02 (accept_number(countrybcivilorganization, n4)),
% 237.86/238.02 inference(unit_resolution,[status(thm)],[314, 273])).
% 237.86/238.02 tff(316,plain,
% 237.86/238.02 ((~((~accept_city(countrybcivilorganization, suffertown)) | (~accept_leader(countrybcivilorganization, countrybhumanitarianorganization)) | (~accept_number(countrybcivilorganization, n4)))) | (~accept_city(countrybcivilorganization, suffertown)) | (~accept_leader(countrybcivilorganization, countrybhumanitarianorganization)) | (~accept_number(countrybcivilorganization, n4))),
% 237.86/238.02 inference(tautology,[status(thm)],[])).
% 237.86/238.02 tff(317,plain,
% 237.86/238.02 (~accept_city(countrybcivilorganization, suffertown)),
% 237.86/238.02 inference(unit_resolution,[status(thm)],[316, 315, 313, 311])).
% 237.86/238.02 tff(318,plain,
% 237.86/238.02 ((((~accept_population(countrybcivilorganization, atheist, n65)) | (~accept_population(countrybcivilorganization, christian, n20)) | (~accept_population(countrybcivilorganization, muslim, n7)) | (~accept_population(countrybcivilorganization, native, n4)) | (~accept_population(countrybcivilorganization, other, n4))) <=> accept_city(countrybcivilorganization, suffertown)) | ((~accept_population(countrybcivilorganization, atheist, n65)) | (~accept_population(countrybcivilorganization, christian, n20)) | (~accept_population(countrybcivilorganization, muslim, n7)) | (~accept_population(countrybcivilorganization, native, n4)) | (~accept_population(countrybcivilorganization, other, n4))) | accept_city(countrybcivilorganization, suffertown)),
% 237.86/238.02 inference(tautology,[status(thm)],[])).
% 237.86/238.02 tff(319,plain,
% 237.86/238.02 ((((~accept_population(countrybcivilorganization, atheist, n65)) | (~accept_population(countrybcivilorganization, christian, n20)) | (~accept_population(countrybcivilorganization, muslim, n7)) | (~accept_population(countrybcivilorganization, native, n4)) | (~accept_population(countrybcivilorganization, other, n4))) <=> accept_city(countrybcivilorganization, suffertown)) | ((~accept_population(countrybcivilorganization, atheist, n65)) | (~accept_population(countrybcivilorganization, christian, n20)) | (~accept_population(countrybcivilorganization, muslim, n7)) | (~accept_population(countrybcivilorganization, native, n4)) | (~accept_population(countrybcivilorganization, other, n4)))),
% 237.86/238.02 inference(unit_resolution,[status(thm)],[318, 317])).
% 237.86/238.02 tff(320,plain,
% 237.86/238.02 ((~accept_population(countrybcivilorganization, atheist, n65)) | (~accept_population(countrybcivilorganization, christian, n20)) | (~accept_population(countrybcivilorganization, muslim, n7)) | (~accept_population(countrybcivilorganization, native, n4)) | (~accept_population(countrybcivilorganization, other, n4))),
% 237.86/238.02 inference(unit_resolution,[status(thm)],[319, 303])).
% 237.86/238.02 tff(321,plain,
% 237.86/238.02 (((~accept_population(countrybcivilorganization, atheist, n78)) | (~accept_population(countrybcivilorganization, christian, n20)) | (~accept_population(countrybcivilorganization, muslim, n1)) | (~accept_population(countrybcivilorganization, native, n0)) | (~accept_population(countrybcivilorganization, other, n1))) | accept_population(countrybcivilorganization, christian, n20)),
% 237.86/238.02 inference(tautology,[status(thm)],[])).
% 237.86/238.02 tff(322,plain,
% 237.86/238.02 (accept_population(countrybcivilorganization, christian, n20)),
% 237.86/238.02 inference(unit_resolution,[status(thm)],[321, 278])).
% 237.86/238.02 tff(323,plain,
% 237.86/238.02 ((~((~accept_population(countrybcivilorganization, atheist, n65)) | (~accept_population(countrybcivilorganization, christian, n20)) | (~accept_population(countrybcivilorganization, muslim, n7)) | (~accept_population(countrybcivilorganization, native, n4)) | (~accept_population(countrybcivilorganization, other, n4)))) | (~accept_population(countrybcivilorganization, atheist, n65)) | (~accept_population(countrybcivilorganization, christian, n20)) | (~accept_population(countrybcivilorganization, muslim, n7)) | (~accept_population(countrybcivilorganization, native, n4)) | (~accept_population(countrybcivilorganization, other, n4))),
% 237.86/238.02 inference(tautology,[status(thm)],[])).
% 237.86/238.02 tff(324,plain,
% 237.86/238.02 ((~accept_population(countrybcivilorganization, atheist, n65)) | (~accept_population(countrybcivilorganization, muslim, n7)) | (~accept_population(countrybcivilorganization, native, n4)) | (~accept_population(countrybcivilorganization, other, n4))),
% 237.86/238.02 inference(unit_resolution,[status(thm)],[323, 322, 320])).
% 237.86/238.02 tff(325,plain,
% 237.86/238.02 (~accept_population(countrybcivilorganization, other, n4)),
% 237.86/238.02 inference(unit_resolution,[status(thm)],[324, 288, 220, 140])).
% 237.86/238.02 tff(326,plain,
% 237.86/238.02 (((~accept_population(countrybcivilorganization, atheist, n30)) | (~accept_population(countrybcivilorganization, christian, n0)) | (~accept_population(countrybcivilorganization, muslim, n65)) | (~accept_population(countrybcivilorganization, native, n0)) | (~accept_population(countrybcivilorganization, other, n5))) | accept_population(countrybcivilorganization, other, n5)),
% 237.86/238.02 inference(tautology,[status(thm)],[])).
% 237.86/238.02 tff(327,plain,
% 237.86/238.02 (accept_population(countrybcivilorganization, other, n5)),
% 237.86/238.02 inference(unit_resolution,[status(thm)],[326, 210])).
% 237.86/238.02 tff(328,plain,
% 237.86/238.02 (((~![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))) | ((~accept_population(countrybcivilorganization, other, n5)) | accept_population(countrybcivilorganization, other, n4) | (~less(n4, n5)))) <=> ((~![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))) | (~accept_population(countrybcivilorganization, other, n5)) | accept_population(countrybcivilorganization, other, n4) | (~less(n4, n5)))),
% 237.86/238.02 inference(rewrite,[status(thm)],[])).
% 237.86/238.02 tff(329,plain,
% 237.86/238.02 ((accept_population(countrybcivilorganization, other, n4) | (~accept_population(countrybcivilorganization, other, n5)) | (~less(n4, n5))) <=> ((~accept_population(countrybcivilorganization, other, n5)) | accept_population(countrybcivilorganization, other, n4) | (~less(n4, n5)))),
% 237.86/238.02 inference(rewrite,[status(thm)],[])).
% 237.86/238.02 tff(330,plain,
% 237.86/238.02 (((~![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))) | (accept_population(countrybcivilorganization, other, n4) | (~accept_population(countrybcivilorganization, other, n5)) | (~less(n4, n5)))) <=> ((~![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))) | ((~accept_population(countrybcivilorganization, other, n5)) | accept_population(countrybcivilorganization, other, n4) | (~less(n4, n5))))),
% 237.86/238.02 inference(monotonicity,[status(thm)],[329])).
% 237.86/238.02 tff(331,plain,
% 237.86/238.02 (((~![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))) | (accept_population(countrybcivilorganization, other, n4) | (~accept_population(countrybcivilorganization, other, n5)) | (~less(n4, n5)))) <=> ((~![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))) | (~accept_population(countrybcivilorganization, other, n5)) | accept_population(countrybcivilorganization, other, n4) | (~less(n4, n5)))),
% 237.86/238.02 inference(transitivity,[status(thm)],[330, 328])).
% 237.86/238.02 tff(332,plain,
% 237.86/238.02 ((~![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))) | (accept_population(countrybcivilorganization, other, n4) | (~accept_population(countrybcivilorganization, other, n5)) | (~less(n4, n5)))),
% 237.86/238.02 inference(quant_inst,[status(thm)],[])).
% 237.86/238.02 tff(333,plain,
% 237.86/238.02 ((~![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))) | (~accept_population(countrybcivilorganization, other, n5)) | accept_population(countrybcivilorganization, other, n4) | (~less(n4, n5))),
% 237.94/238.12 inference(modus_ponens,[status(thm)],[332, 331])).
% 237.94/238.12 tff(334,plain,
% 237.94/238.12 ($false),
% 237.94/238.12 inference(unit_resolution,[status(thm)],[333, 132, 327, 325, 31])).
% 237.94/238.12 % SZS output end Proof
% 237.94/238.12 % E exiting
%------------------------------------------------------------------------------